Finding the Third Proportional to 288,076.50 and 414,956.25

Step by Step Solution

1. Step 1: Write the proportion equation
   288,076.50 : 414,956.25 = 414,956.25 : x
2. Step 2: Convert to fraction form
   288,076.50/414,956.25 = 414,956.25/x
3. Step 3: Cross multiply
   288,076.50x = 414,956.25 × 414,956.25
4. Step 4: Simplify right side
   288,076.50x = 172,188,689,414.06
5. Step 5: Solve for x
   x = 172,188,689,414.06/288,076.50
6. Step 6: Final answer
   x = 597,718.62