Finding the Third Proportional to 849.50 and 999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   849.50 : 999.50 = 999.50 : x
2. Step 2: Convert to fraction form
   849.50/999.50 = 999.50/x
3. Step 3: Cross multiply
   849.50x = 999.50 × 999.50
4. Step 4: Simplify right side
   849.50x = 999,000.25
5. Step 5: Solve for x
   x = 999,000.25/849.50
6. Step 6: Final answer
   x = 1,175.99