Finding the Third Proportional to 25,177 and 58,802

Step by Step Solution

1. Step 1: Write the proportion equation
   25,177 : 58,802 = 58,802 : x
2. Step 2: Convert to fraction form
   25,177/58,802 = 58,802/x
3. Step 3: Cross multiply
   25,177x = 58,802 × 58,802
4. Step 4: Simplify right side
   25,177x = 3,457,675,204
5. Step 5: Solve for x
   x = 3,457,675,204/25,177
6. Step 6: Final answer
   x = 137,334.68