Finding the Third Proportional to 501,561 and 769,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,561 : 769,837.50 = 769,837.50 : x
2. Step 2: Convert to fraction form
   501,561/769,837.50 = 769,837.50/x
3. Step 3: Cross multiply
   501,561x = 769,837.50 × 769,837.50
4. Step 4: Simplify right side
   501,561x = 592,649,776,406.25
5. Step 5: Solve for x
   x = 592,649,776,406.25/501,561
6. Step 6: Final answer
   x = 1,181,610.56