Finding the Third Proportional to 76,142 and 113,793

Step by Step Solution

1. Step 1: Write the proportion equation
   76,142 : 113,793 = 113,793 : x
2. Step 2: Convert to fraction form
   76,142/113,793 = 113,793/x
3. Step 3: Cross multiply
   76,142x = 113,793 × 113,793
4. Step 4: Simplify right side
   76,142x = 12,948,846,849
5. Step 5: Solve for x
   x = 12,948,846,849/76,142
6. Step 6: Final answer
   x = 170,061.82