Finding the Third Proportional to 76,920 and 112,650

Step by Step Solution

1. Step 1: Write the proportion equation
   76,920 : 112,650 = 112,650 : x
2. Step 2: Convert to fraction form
   76,920/112,650 = 112,650/x
3. Step 3: Cross multiply
   76,920x = 112,650 × 112,650
4. Step 4: Simplify right side
   76,920x = 12,690,022,500
5. Step 5: Solve for x
   x = 12,690,022,500/76,920
6. Step 6: Final answer
   x = 164,976.89