Finding the Third Proportional to 109,584 and 156,744

Step by Step Solution

1. Step 1: Write the proportion equation
   109,584 : 156,744 = 156,744 : x
2. Step 2: Convert to fraction form
   109,584/156,744 = 156,744/x
3. Step 3: Cross multiply
   109,584x = 156,744 × 156,744
4. Step 4: Simplify right side
   109,584x = 24,568,681,536
5. Step 5: Solve for x
   x = 24,568,681,536/109,584
6. Step 6: Final answer
   x = 224,199.53