Finding the Third Proportional to 80,502 and 175,632

Step by Step Solution

1. Step 1: Write the proportion equation
   80,502 : 175,632 = 175,632 : x
2. Step 2: Convert to fraction form
   80,502/175,632 = 175,632/x
3. Step 3: Cross multiply
   80,502x = 175,632 × 175,632
4. Step 4: Simplify right side
   80,502x = 30,846,599,424
5. Step 5: Solve for x
   x = 30,846,599,424/80,502
6. Step 6: Final answer
   x = 383,178.05