Finding the Third Proportional to 519,561 and 812,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,561 : 812,146.50 = 812,146.50 : x
2. Step 2: Convert to fraction form
   519,561/812,146.50 = 812,146.50/x
3. Step 3: Cross multiply
   519,561x = 812,146.50 × 812,146.50
4. Step 4: Simplify right side
   519,561x = 659,581,937,462.25
5. Step 5: Solve for x
   x = 659,581,937,462.25/519,561
6. Step 6: Final answer
   x = 1,269,498.55