Finding the Third Proportional to 140,980 and 205,844

Step by Step Solution

1. Step 1: Write the proportion equation
   140,980 : 205,844 = 205,844 : x
2. Step 2: Convert to fraction form
   140,980/205,844 = 205,844/x
3. Step 3: Cross multiply
   140,980x = 205,844 × 205,844
4. Step 4: Simplify right side
   140,980x = 42,371,752,336
5. Step 5: Solve for x
   x = 42,371,752,336/140,980
6. Step 6: Final answer
   x = 300,551.51