Finding the Third Proportional to 80,108 and 120,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,108 : 120,775.50 = 120,775.50 : x
2. Step 2: Convert to fraction form
   80,108/120,775.50 = 120,775.50/x
3. Step 3: Cross multiply
   80,108x = 120,775.50 × 120,775.50
4. Step 4: Simplify right side
   80,108x = 14,586,721,400.25
5. Step 5: Solve for x
   x = 14,586,721,400.25/80,108
6. Step 6: Final answer
   x = 182,088.20