Finding the Third Proportional to 181,851.75 and 397,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,851.75 : 397,561.50 = 397,561.50 : x
2. Step 2: Convert to fraction form
   181,851.75/397,561.50 = 397,561.50/x
3. Step 3: Cross multiply
   181,851.75x = 397,561.50 × 397,561.50
4. Step 4: Simplify right side
   181,851.75x = 158,055,146,282.25
5. Step 5: Solve for x
   x = 158,055,146,282.25/181,851.75
6. Step 6: Final answer
   x = 869,142.84