Finding the Third Proportional to 202,078.50 and 280,974

Step by Step Solution

1. Step 1: Write the proportion equation
   202,078.50 : 280,974 = 280,974 : x
2. Step 2: Convert to fraction form
   202,078.50/280,974 = 280,974/x
3. Step 3: Cross multiply
   202,078.50x = 280,974 × 280,974
4. Step 4: Simplify right side
   202,078.50x = 78,946,388,676
5. Step 5: Solve for x
   x = 78,946,388,676/202,078.50
6. Step 6: Final answer
   x = 390,671.89