Finding the Third Proportional to 147,669 and 221,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,669 : 221,458.50 = 221,458.50 : x
2. Step 2: Convert to fraction form
   147,669/221,458.50 = 221,458.50/x
3. Step 3: Cross multiply
   147,669x = 221,458.50 × 221,458.50
4. Step 4: Simplify right side
   147,669x = 49,043,867,222.25
5. Step 5: Solve for x
   x = 49,043,867,222.25/147,669
6. Step 6: Final answer
   x = 332,120.26