Finding the Third Proportional to 188,256 and 413,952

Step by Step Solution

1. Step 1: Write the proportion equation
   188,256 : 413,952 = 413,952 : x
2. Step 2: Convert to fraction form
   188,256/413,952 = 413,952/x
3. Step 3: Cross multiply
   188,256x = 413,952 × 413,952
4. Step 4: Simplify right side
   188,256x = 171,356,258,304
5. Step 5: Solve for x
   x = 171,356,258,304/188,256
6. Step 6: Final answer
   x = 910,230.00