Finding the Third Proportional to 80,658 and 120,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,658 : 120,847.50 = 120,847.50 : x
2. Step 2: Convert to fraction form
   80,658/120,847.50 = 120,847.50/x
3. Step 3: Cross multiply
   80,658x = 120,847.50 × 120,847.50
4. Step 4: Simplify right side
   80,658x = 14,604,118,256.25
5. Step 5: Solve for x
   x = 14,604,118,256.25/80,658
6. Step 6: Final answer
   x = 181,062.24