Finding the Third Proportional to 123,188 and 171,632

Step by Step Solution

1. Step 1: Write the proportion equation
   123,188 : 171,632 = 171,632 : x
2. Step 2: Convert to fraction form
   123,188/171,632 = 171,632/x
3. Step 3: Cross multiply
   123,188x = 171,632 × 171,632
4. Step 4: Simplify right side
   123,188x = 29,457,543,424
5. Step 5: Solve for x
   x = 29,457,543,424/123,188
6. Step 6: Final answer
   x = 239,126.73