Finding the Third Proportional to 145,533 and 217,404

Step by Step Solution

1. Step 1: Write the proportion equation
   145,533 : 217,404 = 217,404 : x
2. Step 2: Convert to fraction form
   145,533/217,404 = 217,404/x
3. Step 3: Cross multiply
   145,533x = 217,404 × 217,404
4. Step 4: Simplify right side
   145,533x = 47,264,499,216
5. Step 5: Solve for x
   x = 47,264,499,216/145,533
6. Step 6: Final answer
   x = 324,768.26