Finding the Third Proportional to 284,805 and 400,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,805 : 400,693.50 = 400,693.50 : x
2. Step 2: Convert to fraction form
   284,805/400,693.50 = 400,693.50/x
3. Step 3: Cross multiply
   284,805x = 400,693.50 × 400,693.50
4. Step 4: Simplify right side
   284,805x = 160,555,280,942.25
5. Step 5: Solve for x
   x = 160,555,280,942.25/284,805
6. Step 6: Final answer
   x = 563,737.58