Finding the Third Proportional to 285,280.50 and 398,820

Step by Step Solution

1. Step 1: Write the proportion equation
   285,280.50 : 398,820 = 398,820 : x
2. Step 2: Convert to fraction form
   285,280.50/398,820 = 398,820/x
3. Step 3: Cross multiply
   285,280.50x = 398,820 × 398,820
4. Step 4: Simplify right side
   285,280.50x = 159,057,392,400
5. Step 5: Solve for x
   x = 159,057,392,400/285,280.50
6. Step 6: Final answer
   x = 557,547.37