Finding the Third Proportional to 83,418 and 179,957

Step by Step Solution

1. Step 1: Write the proportion equation
   83,418 : 179,957 = 179,957 : x
2. Step 2: Convert to fraction form
   83,418/179,957 = 179,957/x
3. Step 3: Cross multiply
   83,418x = 179,957 × 179,957
4. Step 4: Simplify right side
   83,418x = 32,384,521,849
5. Step 5: Solve for x
   x = 32,384,521,849/83,418
6. Step 6: Final answer
   x = 388,219.83