Finding the Third Proportional to 83,469 and 172,758

Step by Step Solution

1. Step 1: Write the proportion equation
   83,469 : 172,758 = 172,758 : x
2. Step 2: Convert to fraction form
   83,469/172,758 = 172,758/x
3. Step 3: Cross multiply
   83,469x = 172,758 × 172,758
4. Step 4: Simplify right side
   83,469x = 29,845,326,564
5. Step 5: Solve for x
   x = 29,845,326,564/83,469
6. Step 6: Final answer
   x = 357,561.81