Finding the Third Proportional to 215,920.69 and 288,182.81

Step by Step Solution

1. Step 1: Write the proportion equation
   215,920.69 : 288,182.81 = 288,182.81 : x
2. Step 2: Convert to fraction form
   215,920.69/288,182.81 = 288,182.81/x
3. Step 3: Cross multiply
   215,920.69x = 288,182.81 × 288,182.81
4. Step 4: Simplify right side
   215,920.69x = 83,049,333,420.41
5. Step 5: Solve for x
   x = 83,049,333,420.41/215,920.69
6. Step 6: Final answer
   x = 384,628.89