Finding the Third Proportional to 72,565.88 and 109,942.31

Step by Step Solution

1. Step 1: Write the proportion equation
   72,565.88 : 109,942.31 = 109,942.31 : x
2. Step 2: Convert to fraction form
   72,565.88/109,942.31 = 109,942.31/x
3. Step 3: Cross multiply
   72,565.88x = 109,942.31 × 109,942.31
4. Step 4: Simplify right side
   72,565.88x = 12,087,312,077.85
5. Step 5: Solve for x
   x = 12,087,312,077.85/72,565.88
6. Step 6: Final answer
   x = 166,570.20