Finding the Third Proportional to 39,854 and 88,456

Step by Step Solution

1. Step 1: Write the proportion equation
   39,854 : 88,456 = 88,456 : x
2. Step 2: Convert to fraction form
   39,854/88,456 = 88,456/x
3. Step 3: Cross multiply
   39,854x = 88,456 × 88,456
4. Step 4: Simplify right side
   39,854x = 7,824,463,936
5. Step 5: Solve for x
   x = 7,824,463,936/39,854
6. Step 6: Final answer
   x = 196,328.20