Finding the Third Proportional to 80,496 and 127,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,496 : 127,648.50 = 127,648.50 : x
2. Step 2: Convert to fraction form
   80,496/127,648.50 = 127,648.50/x
3. Step 3: Cross multiply
   80,496x = 127,648.50 × 127,648.50
4. Step 4: Simplify right side
   80,496x = 16,294,139,552.25
5. Step 5: Solve for x
   x = 16,294,139,552.25/80,496
6. Step 6: Final answer
   x = 202,421.73