Finding the Third Proportional to 109,140 and 229,288

Step by Step Solution

1. Step 1: Write the proportion equation
   109,140 : 229,288 = 229,288 : x
2. Step 2: Convert to fraction form
   109,140/229,288 = 229,288/x
3. Step 3: Cross multiply
   109,140x = 229,288 × 229,288
4. Step 4: Simplify right side
   109,140x = 52,572,986,944
5. Step 5: Solve for x
   x = 52,572,986,944/109,140
6. Step 6: Final answer
   x = 481,702.28