Finding the Third Proportional to 202,434.50 and 288,372

Step by Step Solution

1. Step 1: Write the proportion equation
   202,434.50 : 288,372 = 288,372 : x
2. Step 2: Convert to fraction form
   202,434.50/288,372 = 288,372/x
3. Step 3: Cross multiply
   202,434.50x = 288,372 × 288,372
4. Step 4: Simplify right side
   202,434.50x = 83,158,410,384
5. Step 5: Solve for x
   x = 83,158,410,384/202,434.50
6. Step 6: Final answer
   x = 410,791.69