Finding the Third Proportional to 533,572.50 and 820,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   533,572.50 : 820,039.50 = 820,039.50 : x
2. Step 2: Convert to fraction form
   533,572.50/820,039.50 = 820,039.50/x
3. Step 3: Cross multiply
   533,572.50x = 820,039.50 × 820,039.50
4. Step 4: Simplify right side
   533,572.50x = 672,464,781,560.25
5. Step 5: Solve for x
   x = 672,464,781,560.25/533,572.50
6. Step 6: Final answer
   x = 1,260,306.30