Finding the Third Proportional to 83,208 and 179,536

Step by Step Solution

1. Step 1: Write the proportion equation
   83,208 : 179,536 = 179,536 : x
2. Step 2: Convert to fraction form
   83,208/179,536 = 179,536/x
3. Step 3: Cross multiply
   83,208x = 179,536 × 179,536
4. Step 4: Simplify right side
   83,208x = 32,233,175,296
5. Step 5: Solve for x
   x = 32,233,175,296/83,208
6. Step 6: Final answer
   x = 387,380.72