Finding the Third Proportional to 523,830 and 811,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,830 : 811,393.50 = 811,393.50 : x
2. Step 2: Convert to fraction form
   523,830/811,393.50 = 811,393.50/x
3. Step 3: Cross multiply
   523,830x = 811,393.50 × 811,393.50
4. Step 4: Simplify right side
   523,830x = 658,359,411,842.25
5. Step 5: Solve for x
   x = 658,359,411,842.25/523,830
6. Step 6: Final answer
   x = 1,256,818.84