Finding the Third Proportional to 80,434.50 and 122,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,434.50 : 122,380.50 = 122,380.50 : x
2. Step 2: Convert to fraction form
   80,434.50/122,380.50 = 122,380.50/x
3. Step 3: Cross multiply
   80,434.50x = 122,380.50 × 122,380.50
4. Step 4: Simplify right side
   80,434.50x = 14,976,986,780.25
5. Step 5: Solve for x
   x = 14,976,986,780.25/80,434.50
6. Step 6: Final answer
   x = 186,201.03