Finding the Third Proportional to 178,142 and 284,061

Step by Step Solution

1. Step 1: Write the proportion equation
   178,142 : 284,061 = 284,061 : x
2. Step 2: Convert to fraction form
   178,142/284,061 = 284,061/x
3. Step 3: Cross multiply
   178,142x = 284,061 × 284,061
4. Step 4: Simplify right side
   178,142x = 80,690,651,721
5. Step 5: Solve for x
   x = 80,690,651,721/178,142
6. Step 6: Final answer
   x = 452,956.92