Finding the Third Proportional to 69,204 and 108,419

Step by Step Solution

1. Step 1: Write the proportion equation
   69,204 : 108,419 = 108,419 : x
2. Step 2: Convert to fraction form
   69,204/108,419 = 108,419/x
3. Step 3: Cross multiply
   69,204x = 108,419 × 108,419
4. Step 4: Simplify right side
   69,204x = 11,754,679,561
5. Step 5: Solve for x
   x = 11,754,679,561/69,204
6. Step 6: Final answer
   x = 169,855.49