Finding the Third Proportional to 189,792 and 284,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,792 : 284,161.50 = 284,161.50 : x
2. Step 2: Convert to fraction form
   189,792/284,161.50 = 284,161.50/x
3. Step 3: Cross multiply
   189,792x = 284,161.50 × 284,161.50
4. Step 4: Simplify right side
   189,792x = 80,747,758,082.25
5. Step 5: Solve for x
   x = 80,747,758,082.25/189,792
6. Step 6: Final answer
   x = 425,453.96