Finding the Third Proportional to 500.50 and 841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500.50 : 841.50 = 841.50 : x
2. Step 2: Convert to fraction form
   500.50/841.50 = 841.50/x
3. Step 3: Cross multiply
   500.50x = 841.50 × 841.50
4. Step 4: Simplify right side
   500.50x = 708,122.25
5. Step 5: Solve for x
   x = 708,122.25/500.50
6. Step 6: Final answer
   x = 1,414.83