Finding the Third Proportional to 80,188 and 175,414

Step by Step Solution

1. Step 1: Write the proportion equation
   80,188 : 175,414 = 175,414 : x
2. Step 2: Convert to fraction form
   80,188/175,414 = 175,414/x
3. Step 3: Cross multiply
   80,188x = 175,414 × 175,414
4. Step 4: Simplify right side
   80,188x = 30,770,071,396
5. Step 5: Solve for x
   x = 30,770,071,396/80,188
6. Step 6: Final answer
   x = 383,724.14