Finding the Third Proportional to 152,408 and 226,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,408 : 226,403.50 = 226,403.50 : x
2. Step 2: Convert to fraction form
   152,408/226,403.50 = 226,403.50/x
3. Step 3: Cross multiply
   152,408x = 226,403.50 × 226,403.50
4. Step 4: Simplify right side
   152,408x = 51,258,544,812.25
5. Step 5: Solve for x
   x = 51,258,544,812.25/152,408
6. Step 6: Final answer
   x = 336,324.50