Finding the Third Proportional to 118,199 and 256,090

Step by Step Solution

1. Step 1: Write the proportion equation
   118,199 : 256,090 = 256,090 : x
2. Step 2: Convert to fraction form
   118,199/256,090 = 256,090/x
3. Step 3: Cross multiply
   118,199x = 256,090 × 256,090
4. Step 4: Simplify right side
   118,199x = 65,582,088,100
5. Step 5: Solve for x
   x = 65,582,088,100/118,199
6. Step 6: Final answer
   x = 554,844.69