Finding the Third Proportional to 288,076.50 and 413,525.25

Step by Step Solution

1. Step 1: Write the proportion equation
   288,076.50 : 413,525.25 = 413,525.25 : x
2. Step 2: Convert to fraction form
   288,076.50/413,525.25 = 413,525.25/x
3. Step 3: Cross multiply
   288,076.50x = 413,525.25 × 413,525.25
4. Step 4: Simplify right side
   288,076.50x = 171,003,132,387.56
5. Step 5: Solve for x
   x = 171,003,132,387.56/288,076.50
6. Step 6: Final answer
   x = 593,603.20