Finding the Third Proportional to 172,856 and 266,662

Step by Step Solution

1. Step 1: Write the proportion equation
   172,856 : 266,662 = 266,662 : x
2. Step 2: Convert to fraction form
   172,856/266,662 = 266,662/x
3. Step 3: Cross multiply
   172,856x = 266,662 × 266,662
4. Step 4: Simplify right side
   172,856x = 71,108,622,244
5. Step 5: Solve for x
   x = 71,108,622,244/172,856
6. Step 6: Final answer
   x = 411,374.91