Finding the Third Proportional to 357,624 and 781,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,624 : 781,681.50 = 781,681.50 : x
2. Step 2: Convert to fraction form
   357,624/781,681.50 = 781,681.50/x
3. Step 3: Cross multiply
   357,624x = 781,681.50 × 781,681.50
4. Step 4: Simplify right side
   357,624x = 611,025,967,442.25
5. Step 5: Solve for x
   x = 611,025,967,442.25/357,624
6. Step 6: Final answer
   x = 1,708,570.92