Finding the Third Proportional to 80,905 and 126,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,905 : 126,641.50 = 126,641.50 : x
2. Step 2: Convert to fraction form
   80,905/126,641.50 = 126,641.50/x
3. Step 3: Cross multiply
   80,905x = 126,641.50 × 126,641.50
4. Step 4: Simplify right side
   80,905x = 16,038,069,522.25
5. Step 5: Solve for x
   x = 16,038,069,522.25/80,905
6. Step 6: Final answer
   x = 198,233.35