Finding the Third Proportional to 49,204 and 76,398

Step by Step Solution

1. Step 1: Write the proportion equation
   49,204 : 76,398 = 76,398 : x
2. Step 2: Convert to fraction form
   49,204/76,398 = 76,398/x
3. Step 3: Cross multiply
   49,204x = 76,398 × 76,398
4. Step 4: Simplify right side
   49,204x = 5,836,654,404
5. Step 5: Solve for x
   x = 5,836,654,404/49,204
6. Step 6: Final answer
   x = 118,621.54