Finding the Third Proportional to 114,901 and 171,662

Step by Step Solution

1. Step 1: Write the proportion equation
   114,901 : 171,662 = 171,662 : x
2. Step 2: Convert to fraction form
   114,901/171,662 = 171,662/x
3. Step 3: Cross multiply
   114,901x = 171,662 × 171,662
4. Step 4: Simplify right side
   114,901x = 29,467,842,244
5. Step 5: Solve for x
   x = 29,467,842,244/114,901
6. Step 6: Final answer
   x = 256,462.89