Finding the Third Proportional to 152,178.75 and 204,142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   152,178.75 : 204,142.78 = 204,142.78 : x
2. Step 2: Convert to fraction form
   152,178.75/204,142.78 = 204,142.78/x
3. Step 3: Cross multiply
   152,178.75x = 204,142.78 × 204,142.78
4. Step 4: Simplify right side
   152,178.75x = 41,674,275,136.49
5. Step 5: Solve for x
   x = 41,674,275,136.49/152,178.75
6. Step 6: Final answer
   x = 273,850.82