Finding the Third Proportional to 189,514.50 and 408,405

Step by Step Solution

1. Step 1: Write the proportion equation
   189,514.50 : 408,405 = 408,405 : x
2. Step 2: Convert to fraction form
   189,514.50/408,405 = 408,405/x
3. Step 3: Cross multiply
   189,514.50x = 408,405 × 408,405
4. Step 4: Simplify right side
   189,514.50x = 166,794,644,025
5. Step 5: Solve for x
   x = 166,794,644,025/189,514.50
6. Step 6: Final answer
   x = 880,115.47