Finding the Third Proportional to 76,140 and 113,790

Step by Step Solution

1. Step 1: Write the proportion equation
   76,140 : 113,790 = 113,790 : x
2. Step 2: Convert to fraction form
   76,140/113,790 = 113,790/x
3. Step 3: Cross multiply
   76,140x = 113,790 × 113,790
4. Step 4: Simplify right side
   76,140x = 12,948,164,100
5. Step 5: Solve for x
   x = 12,948,164,100/76,140
6. Step 6: Final answer
   x = 170,057.32