Finding the Third Proportional to 83,436 and 179,022

Step by Step Solution

1. Step 1: Write the proportion equation
   83,436 : 179,022 = 179,022 : x
2. Step 2: Convert to fraction form
   83,436/179,022 = 179,022/x
3. Step 3: Cross multiply
   83,436x = 179,022 × 179,022
4. Step 4: Simplify right side
   83,436x = 32,048,876,484
5. Step 5: Solve for x
   x = 32,048,876,484/83,436
6. Step 6: Final answer
   x = 384,113.29