Finding the Third Proportional to 83,972 and 117,398

Step by Step Solution

1. Step 1: Write the proportion equation
   83,972 : 117,398 = 117,398 : x
2. Step 2: Convert to fraction form
   83,972/117,398 = 117,398/x
3. Step 3: Cross multiply
   83,972x = 117,398 × 117,398
4. Step 4: Simplify right side
   83,972x = 13,782,290,404
5. Step 5: Solve for x
   x = 13,782,290,404/83,972
6. Step 6: Final answer
   x = 164,129.60