Finding the Third Proportional to 83,450 and 179,536

Step by Step Solution

1. Step 1: Write the proportion equation
   83,450 : 179,536 = 179,536 : x
2. Step 2: Convert to fraction form
   83,450/179,536 = 179,536/x
3. Step 3: Cross multiply
   83,450x = 179,536 × 179,536
4. Step 4: Simplify right side
   83,450x = 32,233,175,296
5. Step 5: Solve for x
   x = 32,233,175,296/83,450
6. Step 6: Final answer
   x = 386,257.34