Finding the Third Proportional to 284,919 and 442,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,919 : 442,919.50 = 442,919.50 : x
2. Step 2: Convert to fraction form
   284,919/442,919.50 = 442,919.50/x
3. Step 3: Cross multiply
   284,919x = 442,919.50 × 442,919.50
4. Step 4: Simplify right side
   284,919x = 196,177,683,480.25
5. Step 5: Solve for x
   x = 196,177,683,480.25/284,919
6. Step 6: Final answer
   x = 688,538.44