Finding the Third Proportional to 106,714 and 229,980

Step by Step Solution

1. Step 1: Write the proportion equation
   106,714 : 229,980 = 229,980 : x
2. Step 2: Convert to fraction form
   106,714/229,980 = 229,980/x
3. Step 3: Cross multiply
   106,714x = 229,980 × 229,980
4. Step 4: Simplify right side
   106,714x = 52,890,800,400
5. Step 5: Solve for x
   x = 52,890,800,400/106,714
6. Step 6: Final answer
   x = 495,631.32