Finding the Third Proportional to 140,086 and 209,632

Step by Step Solution

1. Step 1: Write the proportion equation
   140,086 : 209,632 = 209,632 : x
2. Step 2: Convert to fraction form
   140,086/209,632 = 209,632/x
3. Step 3: Cross multiply
   140,086x = 209,632 × 209,632
4. Step 4: Simplify right side
   140,086x = 43,945,575,424
5. Step 5: Solve for x
   x = 43,945,575,424/140,086
6. Step 6: Final answer
   x = 313,704.26