Finding the Third Proportional to 150,764 and 204,750.75

Step by Step Solution

1. Step 1: Write the proportion equation
   150,764 : 204,750.75 = 204,750.75 : x
2. Step 2: Convert to fraction form
   150,764/204,750.75 = 204,750.75/x
3. Step 3: Cross multiply
   150,764x = 204,750.75 × 204,750.75
4. Step 4: Simplify right side
   150,764x = 41,922,869,625.56
5. Step 5: Solve for x
   x = 41,922,869,625.56/150,764
6. Step 6: Final answer
   x = 278,069.50