Finding the Third Proportional to 80,156 and 125,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,156 : 125,086.50 = 125,086.50 : x
2. Step 2: Convert to fraction form
   80,156/125,086.50 = 125,086.50/x
3. Step 3: Cross multiply
   80,156x = 125,086.50 × 125,086.50
4. Step 4: Simplify right side
   80,156x = 15,646,632,482.25
5. Step 5: Solve for x
   x = 15,646,632,482.25/80,156
6. Step 6: Final answer
   x = 195,202.26