Finding the Third Proportional to 137,622 and 284,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,622 : 284,683.50 = 284,683.50 : x
2. Step 2: Convert to fraction form
   137,622/284,683.50 = 284,683.50/x
3. Step 3: Cross multiply
   137,622x = 284,683.50 × 284,683.50
4. Step 4: Simplify right side
   137,622x = 81,044,695,172.25
5. Step 5: Solve for x
   x = 81,044,695,172.25/137,622
6. Step 6: Final answer
   x = 588,893.46