Finding the Third Proportional to 83,742 and 179,616

Step by Step Solution

1. Step 1: Write the proportion equation
   83,742 : 179,616 = 179,616 : x
2. Step 2: Convert to fraction form
   83,742/179,616 = 179,616/x
3. Step 3: Cross multiply
   83,742x = 179,616 × 179,616
4. Step 4: Simplify right side
   83,742x = 32,261,907,456
5. Step 5: Solve for x
   x = 32,261,907,456/83,742
6. Step 6: Final answer
   x = 385,253.61