Finding the Third Proportional to 42,314 and 89,380

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 89,380 = 89,380 : x
2. Step 2: Convert to fraction form
   42,314/89,380 = 89,380/x
3. Step 3: Cross multiply
   42,314x = 89,380 × 89,380
4. Step 4: Simplify right side
   42,314x = 7,988,784,400
5. Step 5: Solve for x
   x = 7,988,784,400/42,314
6. Step 6: Final answer
   x = 188,797.67