Finding the Third Proportional to 83,772 and 179,676

Step by Step Solution

1. Step 1: Write the proportion equation
   83,772 : 179,676 = 179,676 : x
2. Step 2: Convert to fraction form
   83,772/179,676 = 179,676/x
3. Step 3: Cross multiply
   83,772x = 179,676 × 179,676
4. Step 4: Simplify right side
   83,772x = 32,283,464,976
5. Step 5: Solve for x
   x = 32,283,464,976/83,772
6. Step 6: Final answer
   x = 385,372.98