Finding the Third Proportional to 150,913 and 204,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,913 : 204,225.50 = 204,225.50 : x
2. Step 2: Convert to fraction form
   150,913/204,225.50 = 204,225.50/x
3. Step 3: Cross multiply
   150,913x = 204,225.50 × 204,225.50
4. Step 4: Simplify right side
   150,913x = 41,708,054,850.25
5. Step 5: Solve for x
   x = 41,708,054,850.25/150,913
6. Step 6: Final answer
   x = 276,371.52