Finding the Third Proportional to 80,737.50 and 120,182.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,737.50 : 120,182.25 = 120,182.25 : x
2. Step 2: Convert to fraction form
   80,737.50/120,182.25 = 120,182.25/x
3. Step 3: Cross multiply
   80,737.50x = 120,182.25 × 120,182.25
4. Step 4: Simplify right side
   80,737.50x = 14,443,773,215.06
5. Step 5: Solve for x
   x = 14,443,773,215.06/80,737.50
6. Step 6: Final answer
   x = 178,897.95