Finding the Third Proportional to 114,900 and 171,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,900 : 171,661.50 = 171,661.50 : x
2. Step 2: Convert to fraction form
   114,900/171,661.50 = 171,661.50/x
3. Step 3: Cross multiply
   114,900x = 171,661.50 × 171,661.50
4. Step 4: Simplify right side
   114,900x = 29,467,670,582.25
5. Step 5: Solve for x
   x = 29,467,670,582.25/114,900
6. Step 6: Final answer
   x = 256,463.63