Finding the Third Proportional to 78,874 and 113,376

Step by Step Solution

1. Step 1: Write the proportion equation
   78,874 : 113,376 = 113,376 : x
2. Step 2: Convert to fraction form
   78,874/113,376 = 113,376/x
3. Step 3: Cross multiply
   78,874x = 113,376 × 113,376
4. Step 4: Simplify right side
   78,874x = 12,854,117,376
5. Step 5: Solve for x
   x = 12,854,117,376/78,874
6. Step 6: Final answer
   x = 162,970.27