Finding the Third Proportional to 221,713 and 338,105

Step by Step Solution

1. Step 1: Write the proportion equation
   221,713 : 338,105 = 338,105 : x
2. Step 2: Convert to fraction form
   221,713/338,105 = 338,105/x
3. Step 3: Cross multiply
   221,713x = 338,105 × 338,105
4. Step 4: Simplify right side
   221,713x = 114,314,991,025
5. Step 5: Solve for x
   x = 114,314,991,025/221,713
6. Step 6: Final answer
   x = 515,598.95