Finding the Third Proportional to 116,656 and 172,524

Step by Step Solution

1. Step 1: Write the proportion equation
   116,656 : 172,524 = 172,524 : x
2. Step 2: Convert to fraction form
   116,656/172,524 = 172,524/x
3. Step 3: Cross multiply
   116,656x = 172,524 × 172,524
4. Step 4: Simplify right side
   116,656x = 29,764,530,576
5. Step 5: Solve for x
   x = 29,764,530,576/116,656
6. Step 6: Final answer
   x = 255,147.88