Finding the Third Proportional to 58,856 and 127,144

Step by Step Solution

1. Step 1: Write the proportion equation
   58,856 : 127,144 = 127,144 : x
2. Step 2: Convert to fraction form
   58,856/127,144 = 127,144/x
3. Step 3: Cross multiply
   58,856x = 127,144 × 127,144
4. Step 4: Simplify right side
   58,856x = 16,165,596,736
5. Step 5: Solve for x
   x = 16,165,596,736/58,856
6. Step 6: Final answer
   x = 274,663.53