Finding the Third Proportional to 119,002.50 and 257,607

Step by Step Solution

1. Step 1: Write the proportion equation
   119,002.50 : 257,607 = 257,607 : x
2. Step 2: Convert to fraction form
   119,002.50/257,607 = 257,607/x
3. Step 3: Cross multiply
   119,002.50x = 257,607 × 257,607
4. Step 4: Simplify right side
   119,002.50x = 66,361,366,449
5. Step 5: Solve for x
   x = 66,361,366,449/119,002.50
6. Step 6: Final answer
   x = 557,646.83