Finding the Third Proportional to 122,406 and 221,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,406 : 221,746.50 = 221,746.50 : x
2. Step 2: Convert to fraction form
   122,406/221,746.50 = 221,746.50/x
3. Step 3: Cross multiply
   122,406x = 221,746.50 × 221,746.50
4. Step 4: Simplify right side
   122,406x = 49,171,510,262.25
5. Step 5: Solve for x
   x = 49,171,510,262.25/122,406
6. Step 6: Final answer
   x = 401,708.33