Finding the Third Proportional to 76,800 and 112,464

Step by Step Solution

1. Step 1: Write the proportion equation
   76,800 : 112,464 = 112,464 : x
2. Step 2: Convert to fraction form
   76,800/112,464 = 112,464/x
3. Step 3: Cross multiply
   76,800x = 112,464 × 112,464
4. Step 4: Simplify right side
   76,800x = 12,648,151,296
5. Step 5: Solve for x
   x = 12,648,151,296/76,800
6. Step 6: Final answer
   x = 164,689.47