Finding the Third Proportional to 76,320 and 112,270

Step by Step Solution

1. Step 1: Write the proportion equation
   76,320 : 112,270 = 112,270 : x
2. Step 2: Convert to fraction form
   76,320/112,270 = 112,270/x
3. Step 3: Cross multiply
   76,320x = 112,270 × 112,270
4. Step 4: Simplify right side
   76,320x = 12,604,552,900
5. Step 5: Solve for x
   x = 12,604,552,900/76,320
6. Step 6: Final answer
   x = 165,154.00