Finding the Third Proportional to 80,195 and 112,117

Step by Step Solution

1. Step 1: Write the proportion equation
   80,195 : 112,117 = 112,117 : x
2. Step 2: Convert to fraction form
   80,195/112,117 = 112,117/x
3. Step 3: Cross multiply
   80,195x = 112,117 × 112,117
4. Step 4: Simplify right side
   80,195x = 12,570,221,689
5. Step 5: Solve for x
   x = 12,570,221,689/80,195
6. Step 6: Final answer
   x = 156,745.70