Finding the Third Proportional to 59,150 and 127,774

Step by Step Solution

1. Step 1: Write the proportion equation
   59,150 : 127,774 = 127,774 : x
2. Step 2: Convert to fraction form
   59,150/127,774 = 127,774/x
3. Step 3: Cross multiply
   59,150x = 127,774 × 127,774
4. Step 4: Simplify right side
   59,150x = 16,326,195,076
5. Step 5: Solve for x
   x = 16,326,195,076/59,150
6. Step 6: Final answer
   x = 276,013.44