Finding the Third Proportional to 83,388 and 178,680

Step by Step Solution

1. Step 1: Write the proportion equation
   83,388 : 178,680 = 178,680 : x
2. Step 2: Convert to fraction form
   83,388/178,680 = 178,680/x
3. Step 3: Cross multiply
   83,388x = 178,680 × 178,680
4. Step 4: Simplify right side
   83,388x = 31,926,542,400
5. Step 5: Solve for x
   x = 31,926,542,400/83,388
6. Step 6: Final answer
   x = 382,867.35