Finding the Third Proportional to 140,092 and 209,642

Step by Step Solution

1. Step 1: Write the proportion equation
   140,092 : 209,642 = 209,642 : x
2. Step 2: Convert to fraction form
   140,092/209,642 = 209,642/x
3. Step 3: Cross multiply
   140,092x = 209,642 × 209,642
4. Step 4: Simplify right side
   140,092x = 43,949,768,164
5. Step 5: Solve for x
   x = 43,949,768,164/140,092
6. Step 6: Final answer
   x = 313,720.76