Finding the Third Proportional to 121,665 and 179,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,665 : 179,338.50 = 179,338.50 : x
2. Step 2: Convert to fraction form
   121,665/179,338.50 = 179,338.50/x
3. Step 3: Cross multiply
   121,665x = 179,338.50 × 179,338.50
4. Step 4: Simplify right side
   121,665x = 32,162,297,582.25
5. Step 5: Solve for x
   x = 32,162,297,582.25/121,665
6. Step 6: Final answer
   x = 264,351.27