Finding the Third Proportional to 140,026 and 209,552

Step by Step Solution

1. Step 1: Write the proportion equation
   140,026 : 209,552 = 209,552 : x
2. Step 2: Convert to fraction form
   140,026/209,552 = 209,552/x
3. Step 3: Cross multiply
   140,026x = 209,552 × 209,552
4. Step 4: Simplify right side
   140,026x = 43,912,040,704
5. Step 5: Solve for x
   x = 43,912,040,704/140,026
6. Step 6: Final answer
   x = 313,599.19