Finding the Third Proportional to 80,624 and 175,585

Step by Step Solution

1. Step 1: Write the proportion equation
   80,624 : 175,585 = 175,585 : x
2. Step 2: Convert to fraction form
   80,624/175,585 = 175,585/x
3. Step 3: Cross multiply
   80,624x = 175,585 × 175,585
4. Step 4: Simplify right side
   80,624x = 30,830,092,225
5. Step 5: Solve for x
   x = 30,830,092,225/80,624
6. Step 6: Final answer
   x = 382,393.48