Finding the Third Proportional to 123,196 and 171,643

Step by Step Solution

1. Step 1: Write the proportion equation
   123,196 : 171,643 = 171,643 : x
2. Step 2: Convert to fraction form
   123,196/171,643 = 171,643/x
3. Step 3: Cross multiply
   123,196x = 171,643 × 171,643
4. Step 4: Simplify right side
   123,196x = 29,461,319,449
5. Step 5: Solve for x
   x = 29,461,319,449/123,196
6. Step 6: Final answer
   x = 239,141.85