Finding the Third Proportional to 78,048 and 188,640

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 188,640 = 188,640 : x
2. Step 2: Convert to fraction form
   78,048/188,640 = 188,640/x
3. Step 3: Cross multiply
   78,048x = 188,640 × 188,640
4. Step 4: Simplify right side
   78,048x = 35,585,049,600
5. Step 5: Solve for x
   x = 35,585,049,600/78,048
6. Step 6: Final answer
   x = 455,938.01