Finding the Third Proportional to 89,532 and 188,280

Step by Step Solution

1. Step 1: Write the proportion equation
   89,532 : 188,280 = 188,280 : x
2. Step 2: Convert to fraction form
   89,532/188,280 = 188,280/x
3. Step 3: Cross multiply
   89,532x = 188,280 × 188,280
4. Step 4: Simplify right side
   89,532x = 35,449,358,400
5. Step 5: Solve for x
   x = 35,449,358,400/89,532
6. Step 6: Final answer
   x = 395,940.65