Finding the Third Proportional to 85,708 and 175,592

Step by Step Solution

1. Step 1: Write the proportion equation
   85,708 : 175,592 = 175,592 : x
2. Step 2: Convert to fraction form
   85,708/175,592 = 175,592/x
3. Step 3: Cross multiply
   85,708x = 175,592 × 175,592
4. Step 4: Simplify right side
   85,708x = 30,832,550,464
5. Step 5: Solve for x
   x = 30,832,550,464/85,708
6. Step 6: Final answer
   x = 359,739.47