Finding the Third Proportional to 375,561 and 511,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,561 : 511,501.50 = 511,501.50 : x
2. Step 2: Convert to fraction form
   375,561/511,501.50 = 511,501.50/x
3. Step 3: Cross multiply
   375,561x = 511,501.50 × 511,501.50
4. Step 4: Simplify right side
   375,561x = 261,633,784,502.25
5. Step 5: Solve for x
   x = 261,633,784,502.25/375,561
6. Step 6: Final answer
   x = 696,647.91