Finding the Third Proportional to 80,634 and 112,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,634 : 112,780.50 = 112,780.50 : x
2. Step 2: Convert to fraction form
   80,634/112,780.50 = 112,780.50/x
3. Step 3: Cross multiply
   80,634x = 112,780.50 × 112,780.50
4. Step 4: Simplify right side
   80,634x = 12,719,441,180.25
5. Step 5: Solve for x
   x = 12,719,441,180.25/80,634
6. Step 6: Final answer
   x = 157,742.90