Finding the Third Proportional to 86,040 and 188,640

Step by Step Solution

1. Step 1: Write the proportion equation
   86,040 : 188,640 = 188,640 : x
2. Step 2: Convert to fraction form
   86,040/188,640 = 188,640/x
3. Step 3: Cross multiply
   86,040x = 188,640 × 188,640
4. Step 4: Simplify right side
   86,040x = 35,585,049,600
5. Step 5: Solve for x
   x = 35,585,049,600/86,040
6. Step 6: Final answer
   x = 413,587.28