Finding the Third Proportional to 80,770.50 and 125,766

Step by Step Solution

1. Step 1: Write the proportion equation
   80,770.50 : 125,766 = 125,766 : x
2. Step 2: Convert to fraction form
   80,770.50/125,766 = 125,766/x
3. Step 3: Cross multiply
   80,770.50x = 125,766 × 125,766
4. Step 4: Simplify right side
   80,770.50x = 15,817,086,756
5. Step 5: Solve for x
   x = 15,817,086,756/80,770.50
6. Step 6: Final answer
   x = 195,827.52