Finding the Third Proportional to 58,876 and 127,142

Step by Step Solution

1. Step 1: Write the proportion equation
   58,876 : 127,142 = 127,142 : x
2. Step 2: Convert to fraction form
   58,876/127,142 = 127,142/x
3. Step 3: Cross multiply
   58,876x = 127,142 × 127,142
4. Step 4: Simplify right side
   58,876x = 16,165,088,164
5. Step 5: Solve for x
   x = 16,165,088,164/58,876
6. Step 6: Final answer
   x = 274,561.59