Finding the Third Proportional to 140,443 and 198,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,443 : 198,722.50 = 198,722.50 : x
2. Step 2: Convert to fraction form
   140,443/198,722.50 = 198,722.50/x
3. Step 3: Cross multiply
   140,443x = 198,722.50 × 198,722.50
4. Step 4: Simplify right side
   140,443x = 39,490,632,006.25
5. Step 5: Solve for x
   x = 39,490,632,006.25/140,443
6. Step 6: Final answer
   x = 281,186.19