Finding the Third Proportional to 288,664 and 415,807.25

Step by Step Solution

1. Step 1: Write the proportion equation
   288,664 : 415,807.25 = 415,807.25 : x
2. Step 2: Convert to fraction form
   288,664/415,807.25 = 415,807.25/x
3. Step 3: Cross multiply
   288,664x = 415,807.25 × 415,807.25
4. Step 4: Simplify right side
   288,664x = 172,895,669,152.56
5. Step 5: Solve for x
   x = 172,895,669,152.56/288,664
6. Step 6: Final answer
   x = 598,951.27