Finding the Third Proportional to 127,774 and 185,714

Step by Step Solution

1. Step 1: Write the proportion equation
   127,774 : 185,714 = 185,714 : x
2. Step 2: Convert to fraction form
   127,774/185,714 = 185,714/x
3. Step 3: Cross multiply
   127,774x = 185,714 × 185,714
4. Step 4: Simplify right side
   127,774x = 34,489,689,796
5. Step 5: Solve for x
   x = 34,489,689,796/127,774
6. Step 6: Final answer
   x = 269,927.29