Finding the Third Proportional to 74,380 and 113,314

Step by Step Solution

1. Step 1: Write the proportion equation
   74,380 : 113,314 = 113,314 : x
2. Step 2: Convert to fraction form
   74,380/113,314 = 113,314/x
3. Step 3: Cross multiply
   74,380x = 113,314 × 113,314
4. Step 4: Simplify right side
   74,380x = 12,840,062,596
5. Step 5: Solve for x
   x = 12,840,062,596/74,380
6. Step 6: Final answer
   x = 172,627.89