Finding the Third Proportional to 221,106 and 333,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,106 : 333,508.50 = 333,508.50 : x
2. Step 2: Convert to fraction form
   221,106/333,508.50 = 333,508.50/x
3. Step 3: Cross multiply
   221,106x = 333,508.50 × 333,508.50
4. Step 4: Simplify right side
   221,106x = 111,227,919,572.25
5. Step 5: Solve for x
   x = 111,227,919,572.25/221,106
6. Step 6: Final answer
   x = 503,052.47