Finding the Third Proportional to 140,518 and 205,518

Step by Step Solution

1. Step 1: Write the proportion equation
   140,518 : 205,518 = 205,518 : x
2. Step 2: Convert to fraction form
   140,518/205,518 = 205,518/x
3. Step 3: Cross multiply
   140,518x = 205,518 × 205,518
4. Step 4: Simplify right side
   140,518x = 42,237,648,324
5. Step 5: Solve for x
   x = 42,237,648,324/140,518
6. Step 6: Final answer
   x = 300,585.32