Finding the Third Proportional to 80,193 and 112,114

Step by Step Solution

1. Step 1: Write the proportion equation
   80,193 : 112,114 = 112,114 : x
2. Step 2: Convert to fraction form
   80,193/112,114 = 112,114/x
3. Step 3: Cross multiply
   80,193x = 112,114 × 112,114
4. Step 4: Simplify right side
   80,193x = 12,569,548,996
5. Step 5: Solve for x
   x = 12,569,548,996/80,193
6. Step 6: Final answer
   x = 156,741.22