Finding the Third Proportional to 80,414 and 175,732

Step by Step Solution

1. Step 1: Write the proportion equation
   80,414 : 175,732 = 175,732 : x
2. Step 2: Convert to fraction form
   80,414/175,732 = 175,732/x
3. Step 3: Cross multiply
   80,414x = 175,732 × 175,732
4. Step 4: Simplify right side
   80,414x = 30,881,735,824
5. Step 5: Solve for x
   x = 30,881,735,824/80,414
6. Step 6: Final answer
   x = 384,034.32