Finding the Third Proportional to 85,714 and 175,604

Step by Step Solution

1. Step 1: Write the proportion equation
   85,714 : 175,604 = 175,604 : x
2. Step 2: Convert to fraction form
   85,714/175,604 = 175,604/x
3. Step 3: Cross multiply
   85,714x = 175,604 × 175,604
4. Step 4: Simplify right side
   85,714x = 30,836,764,816
5. Step 5: Solve for x
   x = 30,836,764,816/85,714
6. Step 6: Final answer
   x = 359,763.46