Finding the Third Proportional to 899.50 and 1,405

Step by Step Solution

1. Step 1: Write the proportion equation
   899.50 : 1,405 = 1,405 : x
2. Step 2: Convert to fraction form
   899.50/1,405 = 1,405/x
3. Step 3: Cross multiply
   899.50x = 1,405 × 1,405
4. Step 4: Simplify right side
   899.50x = 1,974,025
5. Step 5: Solve for x
   x = 1,974,025/899.50
6. Step 6: Final answer
   x = 2,194.58