Finding the Third Proportional to 506,413 and 801,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,413 : 801,901.50 = 801,901.50 : x
2. Step 2: Convert to fraction form
   506,413/801,901.50 = 801,901.50/x
3. Step 3: Cross multiply
   506,413x = 801,901.50 × 801,901.50
4. Step 4: Simplify right side
   506,413x = 643,046,015,702.25
5. Step 5: Solve for x
   x = 643,046,015,702.25/506,413
6. Step 6: Final answer
   x = 1,269,805.51