Finding the Third Proportional to 999.50 and 1,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   999.50 : 1,406.50 = 1,406.50 : x
2. Step 2: Convert to fraction form
   999.50/1,406.50 = 1,406.50/x
3. Step 3: Cross multiply
   999.50x = 1,406.50 × 1,406.50
4. Step 4: Simplify right side
   999.50x = 1,978,242.25
5. Step 5: Solve for x
   x = 1,978,242.25/999.50
6. Step 6: Final answer
   x = 1,979.23