Finding the Third Proportional to 80,604 and 175,545

Step by Step Solution

1. Step 1: Write the proportion equation
   80,604 : 175,545 = 175,545 : x
2. Step 2: Convert to fraction form
   80,604/175,545 = 175,545/x
3. Step 3: Cross multiply
   80,604x = 175,545 × 175,545
4. Step 4: Simplify right side
   80,604x = 30,816,047,025
5. Step 5: Solve for x
   x = 30,816,047,025/80,604
6. Step 6: Final answer
   x = 382,314.12