Finding the Third Proportional to 53,284.50 and 108,405

Step by Step Solution

1. Step 1: Write the proportion equation
   53,284.50 : 108,405 = 108,405 : x
2. Step 2: Convert to fraction form
   53,284.50/108,405 = 108,405/x
3. Step 3: Cross multiply
   53,284.50x = 108,405 × 108,405
4. Step 4: Simplify right side
   53,284.50x = 11,751,644,025
5. Step 5: Solve for x
   x = 11,751,644,025/53,284.50
6. Step 6: Final answer
   x = 220,545.26