Finding the Third Proportional to 120,576 and 177,378.75

Step by Step Solution

1. Step 1: Write the proportion equation
   120,576 : 177,378.75 = 177,378.75 : x
2. Step 2: Convert to fraction form
   120,576/177,378.75 = 177,378.75/x
3. Step 3: Cross multiply
   120,576x = 177,378.75 × 177,378.75
4. Step 4: Simplify right side
   120,576x = 31,463,220,951.56
5. Step 5: Solve for x
   x = 31,463,220,951.56/120,576
6. Step 6: Final answer
   x = 260,940.99