Finding the Third Proportional to 103,832 and 162,662

Step by Step Solution

1. Step 1: Write the proportion equation
   103,832 : 162,662 = 162,662 : x
2. Step 2: Convert to fraction form
   103,832/162,662 = 162,662/x
3. Step 3: Cross multiply
   103,832x = 162,662 × 162,662
4. Step 4: Simplify right side
   103,832x = 26,458,926,244
5. Step 5: Solve for x
   x = 26,458,926,244/103,832
6. Step 6: Final answer
   x = 254,824.39