Finding the Third Proportional to 199,393 and 284,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,393 : 284,397.50 = 284,397.50 : x
2. Step 2: Convert to fraction form
   199,393/284,397.50 = 284,397.50/x
3. Step 3: Cross multiply
   199,393x = 284,397.50 × 284,397.50
4. Step 4: Simplify right side
   199,393x = 80,881,938,006.25
5. Step 5: Solve for x
   x = 80,881,938,006.25/199,393
6. Step 6: Final answer
   x = 405,640.81