Finding the Third Proportional to 138,023 and 209,105

Step by Step Solution

1. Step 1: Write the proportion equation
   138,023 : 209,105 = 209,105 : x
2. Step 2: Convert to fraction form
   138,023/209,105 = 209,105/x
3. Step 3: Cross multiply
   138,023x = 209,105 × 209,105
4. Step 4: Simplify right side
   138,023x = 43,724,901,025
5. Step 5: Solve for x
   x = 43,724,901,025/138,023
6. Step 6: Final answer
   x = 316,794.31