Finding the Third Proportional to 38,256 and 90,456

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 90,456 = 90,456 : x
2. Step 2: Convert to fraction form
   38,256/90,456 = 90,456/x
3. Step 3: Cross multiply
   38,256x = 90,456 × 90,456
4. Step 4: Simplify right side
   38,256x = 8,182,287,936
5. Step 5: Solve for x
   x = 8,182,287,936/38,256
6. Step 6: Final answer
   x = 213,882.47