Finding the Third Proportional to 119,313 and 259,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,313 : 259,726.50 = 259,726.50 : x
2. Step 2: Convert to fraction form
   119,313/259,726.50 = 259,726.50/x
3. Step 3: Cross multiply
   119,313x = 259,726.50 × 259,726.50
4. Step 4: Simplify right side
   119,313x = 67,457,854,802.25
5. Step 5: Solve for x
   x = 67,457,854,802.25/119,313
6. Step 6: Final answer
   x = 565,385.62