Finding the Third Proportional to 121,665 and 162,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,665 : 162,744.50 = 162,744.50 : x
2. Step 2: Convert to fraction form
   121,665/162,744.50 = 162,744.50/x
3. Step 3: Cross multiply
   121,665x = 162,744.50 × 162,744.50
4. Step 4: Simplify right side
   121,665x = 26,485,772,280.25
5. Step 5: Solve for x
   x = 26,485,772,280.25/121,665
6. Step 6: Final answer
   x = 217,694.26