Finding the Third Proportional to 89,742 and 188,784

Step by Step Solution

1. Step 1: Write the proportion equation
   89,742 : 188,784 = 188,784 : x
2. Step 2: Convert to fraction form
   89,742/188,784 = 188,784/x
3. Step 3: Cross multiply
   89,742x = 188,784 × 188,784
4. Step 4: Simplify right side
   89,742x = 35,639,398,656
5. Step 5: Solve for x
   x = 35,639,398,656/89,742
6. Step 6: Final answer
   x = 397,131.76