Finding the Third Proportional to 202,435 and 288,372.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,435 : 288,372.75 = 288,372.75 : x
2. Step 2: Convert to fraction form
   202,435/288,372.75 = 288,372.75/x
3. Step 3: Cross multiply
   202,435x = 288,372.75 × 288,372.75
4. Step 4: Simplify right side
   202,435x = 83,158,842,942.56
5. Step 5: Solve for x
   x = 83,158,842,942.56/202,435
6. Step 6: Final answer
   x = 410,792.81