Finding the Third Proportional to 146,258 and 316,504

Step by Step Solution

1. Step 1: Write the proportion equation
   146,258 : 316,504 = 316,504 : x
2. Step 2: Convert to fraction form
   146,258/316,504 = 316,504/x
3. Step 3: Cross multiply
   146,258x = 316,504 × 316,504
4. Step 4: Simplify right side
   146,258x = 100,174,782,016
5. Step 5: Solve for x
   x = 100,174,782,016/146,258
6. Step 6: Final answer
   x = 684,918.31