Finding the Third Proportional to 182,370 and 284,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,370 : 284,629.50 = 284,629.50 : x
2. Step 2: Convert to fraction form
   182,370/284,629.50 = 284,629.50/x
3. Step 3: Cross multiply
   182,370x = 284,629.50 × 284,629.50
4. Step 4: Simplify right side
   182,370x = 81,013,952,270.25
5. Step 5: Solve for x
   x = 81,013,952,270.25/182,370
6. Step 6: Final answer
   x = 444,228.50