Finding the Third Proportional to 85,716 and 175,608

Step by Step Solution

1. Step 1: Write the proportion equation
   85,716 : 175,608 = 175,608 : x
2. Step 2: Convert to fraction form
   85,716/175,608 = 175,608/x
3. Step 3: Cross multiply
   85,716x = 175,608 × 175,608
4. Step 4: Simplify right side
   85,716x = 30,838,169,664
5. Step 5: Solve for x
   x = 30,838,169,664/85,716
6. Step 6: Final answer
   x = 359,771.45