Finding the Third Proportional to 181,026.75 and 397,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,026.75 : 397,498.50 = 397,498.50 : x
2. Step 2: Convert to fraction form
   181,026.75/397,498.50 = 397,498.50/x
3. Step 3: Cross multiply
   181,026.75x = 397,498.50 × 397,498.50
4. Step 4: Simplify right side
   181,026.75x = 158,005,057,502.25
5. Step 5: Solve for x
   x = 158,005,057,502.25/181,026.75
6. Step 6: Final answer
   x = 872,827.12