Finding the Third Proportional to 76,508 and 116,380

Step by Step Solution

1. Step 1: Write the proportion equation
   76,508 : 116,380 = 116,380 : x
2. Step 2: Convert to fraction form
   76,508/116,380 = 116,380/x
3. Step 3: Cross multiply
   76,508x = 116,380 × 116,380
4. Step 4: Simplify right side
   76,508x = 13,544,304,400
5. Step 5: Solve for x
   x = 13,544,304,400/76,508
6. Step 6: Final answer
   x = 177,031.22