Finding the Third Proportional to 11,478,268,697,082 and 25,296,174,090,258

Step by Step Solution

1. Step 1: Write the proportion equation
   11,478,268,697,082 : 25,296,174,090,258 = 25,296,174,090,258 : x
2. Step 2: Convert to fraction form
   11,478,268,697,082/25,296,174,090,258 = 25,296,174,090,258/x
3. Step 3: Cross multiply
   11,478,268,697,082x = 25,296,174,090,258 × 25,296,174,090,258
4. Step 4: Simplify right side
   11,478,268,697,082x = 639,896,423,604,640,094,384,816,128
5. Step 5: Solve for x
   x = 639,896,423,604,640,094,384,816,128/11,478,268,697,082
6. Step 6: Final answer
   x = 55,748,514,039,169.88