Finding the Third Proportional to 86,208 and 123,417

Step by Step Solution

1. Step 1: Write the proportion equation
   86,208 : 123,417 = 123,417 : x
2. Step 2: Convert to fraction form
   86,208/123,417 = 123,417/x
3. Step 3: Cross multiply
   86,208x = 123,417 × 123,417
4. Step 4: Simplify right side
   86,208x = 15,231,755,889
5. Step 5: Solve for x
   x = 15,231,755,889/86,208
6. Step 6: Final answer
   x = 176,686.11