Finding the Third Proportional to 80,256 and 122,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,256 : 122,521.50 = 122,521.50 : x
2. Step 2: Convert to fraction form
   80,256/122,521.50 = 122,521.50/x
3. Step 3: Cross multiply
   80,256x = 122,521.50 × 122,521.50
4. Step 4: Simplify right side
   80,256x = 15,011,517,962.25
5. Step 5: Solve for x
   x = 15,011,517,962.25/80,256
6. Step 6: Final answer
   x = 187,045.43