Finding the Third Proportional to 189,544.50 and 408,465

Step by Step Solution

1. Step 1: Write the proportion equation
   189,544.50 : 408,465 = 408,465 : x
2. Step 2: Convert to fraction form
   189,544.50/408,465 = 408,465/x
3. Step 3: Cross multiply
   189,544.50x = 408,465 × 408,465
4. Step 4: Simplify right side
   189,544.50x = 166,843,656,225
5. Step 5: Solve for x
   x = 166,843,656,225/189,544.50
6. Step 6: Final answer
   x = 880,234.75