Finding the Third Proportional to 140,738 and 207,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,738 : 207,384 = 207,384 : x
2. Step 2: Convert to fraction form
   140,738/207,384 = 207,384/x
3. Step 3: Cross multiply
   140,738x = 207,384 × 207,384
4. Step 4: Simplify right side
   140,738x = 43,008,123,456
5. Step 5: Solve for x
   x = 43,008,123,456/140,738
6. Step 6: Final answer
   x = 305,589.99