Finding the Third Proportional to 533,709 and 811,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   533,709 : 811,561.50 = 811,561.50 : x
2. Step 2: Convert to fraction form
   533,709/811,561.50 = 811,561.50/x
3. Step 3: Cross multiply
   533,709x = 811,561.50 × 811,561.50
4. Step 4: Simplify right side
   533,709x = 658,632,068,282.25
5. Step 5: Solve for x
   x = 658,632,068,282.25/533,709
6. Step 6: Final answer
   x = 1,234,065.88