Finding the Third Proportional to 83,942 and 117,353

Step by Step Solution

1. Step 1: Write the proportion equation
   83,942 : 117,353 = 117,353 : x
2. Step 2: Convert to fraction form
   83,942/117,353 = 117,353/x
3. Step 3: Cross multiply
   83,942x = 117,353 × 117,353
4. Step 4: Simplify right side
   83,942x = 13,771,726,609
5. Step 5: Solve for x
   x = 13,771,726,609/83,942
6. Step 6: Final answer
   x = 164,062.41