Finding the Third Proportional to 85,142 and 172,716

Step by Step Solution

1. Step 1: Write the proportion equation
   85,142 : 172,716 = 172,716 : x
2. Step 2: Convert to fraction form
   85,142/172,716 = 172,716/x
3. Step 3: Cross multiply
   85,142x = 172,716 × 172,716
4. Step 4: Simplify right side
   85,142x = 29,830,816,656
5. Step 5: Solve for x
   x = 29,830,816,656/85,142
6. Step 6: Final answer
   x = 350,365.47