Finding the Third Proportional to 121,664.50 and 162,744

Step by Step Solution

1. Step 1: Write the proportion equation
   121,664.50 : 162,744 = 162,744 : x
2. Step 2: Convert to fraction form
   121,664.50/162,744 = 162,744/x
3. Step 3: Cross multiply
   121,664.50x = 162,744 × 162,744
4. Step 4: Simplify right side
   121,664.50x = 26,485,609,536
5. Step 5: Solve for x
   x = 26,485,609,536/121,664.50
6. Step 6: Final answer
   x = 217,693.82