Finding the Third Proportional to 202,442.50 and 288,384

Step by Step Solution

1. Step 1: Write the proportion equation
   202,442.50 : 288,384 = 288,384 : x
2. Step 2: Convert to fraction form
   202,442.50/288,384 = 288,384/x
3. Step 3: Cross multiply
   202,442.50x = 288,384 × 288,384
4. Step 4: Simplify right side
   202,442.50x = 83,165,331,456
5. Step 5: Solve for x
   x = 83,165,331,456/202,442.50
6. Step 6: Final answer
   x = 410,809.64