Finding the Third Proportional to 83,649 and 178,638

Step by Step Solution

1. Step 1: Write the proportion equation
   83,649 : 178,638 = 178,638 : x
2. Step 2: Convert to fraction form
   83,649/178,638 = 178,638/x
3. Step 3: Cross multiply
   83,649x = 178,638 × 178,638
4. Step 4: Simplify right side
   83,649x = 31,911,535,044
5. Step 5: Solve for x
   x = 31,911,535,044/83,649
6. Step 6: Final answer
   x = 381,493.32