Finding the Third Proportional to 140,827.50 and 288,216

Step by Step Solution

1. Step 1: Write the proportion equation
   140,827.50 : 288,216 = 288,216 : x
2. Step 2: Convert to fraction form
   140,827.50/288,216 = 288,216/x
3. Step 3: Cross multiply
   140,827.50x = 288,216 × 288,216
4. Step 4: Simplify right side
   140,827.50x = 83,068,462,656
5. Step 5: Solve for x
   x = 83,068,462,656/140,827.50
6. Step 6: Final answer
   x = 589,859.67