Finding the Third Proportional to 83,976 and 117,404

Step by Step Solution

1. Step 1: Write the proportion equation
   83,976 : 117,404 = 117,404 : x
2. Step 2: Convert to fraction form
   83,976/117,404 = 117,404/x
3. Step 3: Cross multiply
   83,976x = 117,404 × 117,404
4. Step 4: Simplify right side
   83,976x = 13,783,699,216
5. Step 5: Solve for x
   x = 13,783,699,216/83,976
6. Step 6: Final answer
   x = 164,138.55