Finding the Third Proportional to 127,002 and 186,714

Step by Step Solution

1. Step 1: Write the proportion equation
   127,002 : 186,714 = 186,714 : x
2. Step 2: Convert to fraction form
   127,002/186,714 = 186,714/x
3. Step 3: Cross multiply
   127,002x = 186,714 × 186,714
4. Step 4: Simplify right side
   127,002x = 34,862,117,796
5. Step 5: Solve for x
   x = 34,862,117,796/127,002
6. Step 6: Final answer
   x = 274,500.54