Finding the Third Proportional to 182,320.50 and 288,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,320.50 : 288,464.50 = 288,464.50 : x
2. Step 2: Convert to fraction form
   182,320.50/288,464.50 = 288,464.50/x
3. Step 3: Cross multiply
   182,320.50x = 288,464.50 × 288,464.50
4. Step 4: Simplify right side
   182,320.50x = 83,211,767,760.25
5. Step 5: Solve for x
   x = 83,211,767,760.25/182,320.50
6. Step 6: Final answer
   x = 456,403.79