Finding the Third Proportional to 113,876 and 162,219

Step by Step Solution

1. Step 1: Write the proportion equation
   113,876 : 162,219 = 162,219 : x
2. Step 2: Convert to fraction form
   113,876/162,219 = 162,219/x
3. Step 3: Cross multiply
   113,876x = 162,219 × 162,219
4. Step 4: Simplify right side
   113,876x = 26,315,003,961
5. Step 5: Solve for x
   x = 26,315,003,961/113,876
6. Step 6: Final answer
   x = 231,084.72