Finding the Third Proportional to 86,206 and 123,414

Step by Step Solution

1. Step 1: Write the proportion equation
   86,206 : 123,414 = 123,414 : x
2. Step 2: Convert to fraction form
   86,206/123,414 = 123,414/x
3. Step 3: Cross multiply
   86,206x = 123,414 × 123,414
4. Step 4: Simplify right side
   86,206x = 15,231,015,396
5. Step 5: Solve for x
   x = 15,231,015,396/86,206
6. Step 6: Final answer
   x = 176,681.62