Finding the Third Proportional to 182,022 and 284,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,022 : 284,916.50 = 284,916.50 : x
2. Step 2: Convert to fraction form
   182,022/284,916.50 = 284,916.50/x
3. Step 3: Cross multiply
   182,022x = 284,916.50 × 284,916.50
4. Step 4: Simplify right side
   182,022x = 81,177,411,972.25
5. Step 5: Solve for x
   x = 81,177,411,972.25/182,022
6. Step 6: Final answer
   x = 445,975.83