Finding the Third Proportional to 80,644 and 175,092

Step by Step Solution

1. Step 1: Write the proportion equation
   80,644 : 175,092 = 175,092 : x
2. Step 2: Convert to fraction form
   80,644/175,092 = 175,092/x
3. Step 3: Cross multiply
   80,644x = 175,092 × 175,092
4. Step 4: Simplify right side
   80,644x = 30,657,208,464
5. Step 5: Solve for x
   x = 30,657,208,464/80,644
6. Step 6: Final answer
   x = 380,154.86