Finding the Third Proportional to 109,656 and 234,288

Step by Step Solution

1. Step 1: Write the proportion equation
   109,656 : 234,288 = 234,288 : x
2. Step 2: Convert to fraction form
   109,656/234,288 = 234,288/x
3. Step 3: Cross multiply
   109,656x = 234,288 × 234,288
4. Step 4: Simplify right side
   109,656x = 54,890,866,944
5. Step 5: Solve for x
   x = 54,890,866,944/109,656
6. Step 6: Final answer
   x = 500,573.31