Finding the Third Proportional to 113,871 and 162,212

Step by Step Solution

1. Step 1: Write the proportion equation
   113,871 : 162,212 = 162,212 : x
2. Step 2: Convert to fraction form
   113,871/162,212 = 162,212/x
3. Step 3: Cross multiply
   113,871x = 162,212 × 162,212
4. Step 4: Simplify right side
   113,871x = 26,312,732,944
5. Step 5: Solve for x
   x = 26,312,732,944/113,871
6. Step 6: Final answer
   x = 231,074.93