Finding the Third Proportional to 109,398 and 226,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,398 : 226,378.50 = 226,378.50 : x
2. Step 2: Convert to fraction form
   109,398/226,378.50 = 226,378.50/x
3. Step 3: Cross multiply
   109,398x = 226,378.50 × 226,378.50
4. Step 4: Simplify right side
   109,398x = 51,247,225,262.25
5. Step 5: Solve for x
   x = 51,247,225,262.25/109,398
6. Step 6: Final answer
   x = 468,447.55