Finding the Third Proportional to 50,340 and 109,723

Step by Step Solution

1. Step 1: Write the proportion equation
   50,340 : 109,723 = 109,723 : x
2. Step 2: Convert to fraction form
   50,340/109,723 = 109,723/x
3. Step 3: Cross multiply
   50,340x = 109,723 × 109,723
4. Step 4: Simplify right side
   50,340x = 12,039,136,729
5. Step 5: Solve for x
   x = 12,039,136,729/50,340
6. Step 6: Final answer
   x = 239,156.47