Finding the Third Proportional to 519,061.50 and 698,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,061.50 : 698,422.50 = 698,422.50 : x
2. Step 2: Convert to fraction form
   519,061.50/698,422.50 = 698,422.50/x
3. Step 3: Cross multiply
   519,061.50x = 698,422.50 × 698,422.50
4. Step 4: Simplify right side
   519,061.50x = 487,793,988,506.25
5. Step 5: Solve for x
   x = 487,793,988,506.25/519,061.50
6. Step 6: Final answer
   x = 939,761.45