Finding the Third Proportional to 140,988 and 205,854

Step by Step Solution

1. Step 1: Write the proportion equation
   140,988 : 205,854 = 205,854 : x
2. Step 2: Convert to fraction form
   140,988/205,854 = 205,854/x
3. Step 3: Cross multiply
   140,988x = 205,854 × 205,854
4. Step 4: Simplify right side
   140,988x = 42,375,869,316
5. Step 5: Solve for x
   x = 42,375,869,316/140,988
6. Step 6: Final answer
   x = 300,563.66