Finding the Third Proportional to 127,892 and 298,714

Step by Step Solution

1. Step 1: Write the proportion equation
   127,892 : 298,714 = 298,714 : x
2. Step 2: Convert to fraction form
   127,892/298,714 = 298,714/x
3. Step 3: Cross multiply
   127,892x = 298,714 × 298,714
4. Step 4: Simplify right side
   127,892x = 89,230,053,796
5. Step 5: Solve for x
   x = 89,230,053,796/127,892
6. Step 6: Final answer
   x = 697,698.48