Finding the Third Proportional to 107,304 and 231,216

Step by Step Solution

1. Step 1: Write the proportion equation
   107,304 : 231,216 = 231,216 : x
2. Step 2: Convert to fraction form
   107,304/231,216 = 231,216/x
3. Step 3: Cross multiply
   107,304x = 231,216 × 231,216
4. Step 4: Simplify right side
   107,304x = 53,460,838,656
5. Step 5: Solve for x
   x = 53,460,838,656/107,304
6. Step 6: Final answer
   x = 498,218.51