Finding the Third Proportional to 72,778.50 and 109,593

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778.50 : 109,593 = 109,593 : x
2. Step 2: Convert to fraction form
   72,778.50/109,593 = 109,593/x
3. Step 3: Cross multiply
   72,778.50x = 109,593 × 109,593
4. Step 4: Simplify right side
   72,778.50x = 12,010,625,649
5. Step 5: Solve for x
   x = 12,010,625,649/72,778.50
6. Step 6: Final answer
   x = 165,029.86