Finding the Third Proportional to 151,533 and 227,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,533 : 227,299.50 = 227,299.50 : x
2. Step 2: Convert to fraction form
   151,533/227,299.50 = 227,299.50/x
3. Step 3: Cross multiply
   151,533x = 227,299.50 × 227,299.50
4. Step 4: Simplify right side
   151,533x = 51,665,062,700.25
5. Step 5: Solve for x
   x = 51,665,062,700.25/151,533
6. Step 6: Final answer
   x = 340,949.25