Finding the Third Proportional to 83,974 and 117,401

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974 : 117,401 = 117,401 : x
2. Step 2: Convert to fraction form
   83,974/117,401 = 117,401/x
3. Step 3: Cross multiply
   83,974x = 117,401 × 117,401
4. Step 4: Simplify right side
   83,974x = 13,782,994,801
5. Step 5: Solve for x
   x = 13,782,994,801/83,974
6. Step 6: Final answer
   x = 164,134.07