Finding the Third Proportional to 87,224 and 188,384

Step by Step Solution

1. Step 1: Write the proportion equation
   87,224 : 188,384 = 188,384 : x
2. Step 2: Convert to fraction form
   87,224/188,384 = 188,384/x
3. Step 3: Cross multiply
   87,224x = 188,384 × 188,384
4. Step 4: Simplify right side
   87,224x = 35,488,531,456
5. Step 5: Solve for x
   x = 35,488,531,456/87,224
6. Step 6: Final answer
   x = 406,866.59