Finding the Third Proportional to 185,193 and 280,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,193 : 280,381.50 = 280,381.50 : x
2. Step 2: Convert to fraction form
   185,193/280,381.50 = 280,381.50/x
3. Step 3: Cross multiply
   185,193x = 280,381.50 × 280,381.50
4. Step 4: Simplify right side
   185,193x = 78,613,785,542.25
5. Step 5: Solve for x
   x = 78,613,785,542.25/185,193
6. Step 6: Final answer
   x = 424,496.53