Finding the Third Proportional to 87,408 and 188,640

Step by Step Solution

1. Step 1: Write the proportion equation
   87,408 : 188,640 = 188,640 : x
2. Step 2: Convert to fraction form
   87,408/188,640 = 188,640/x
3. Step 3: Cross multiply
   87,408x = 188,640 × 188,640
4. Step 4: Simplify right side
   87,408x = 35,585,049,600
5. Step 5: Solve for x
   x = 35,585,049,600/87,408
6. Step 6: Final answer
   x = 407,114.33