Finding the Third Proportional to 39,858 and 87,456

Step by Step Solution

1. Step 1: Write the proportion equation
   39,858 : 87,456 = 87,456 : x
2. Step 2: Convert to fraction form
   39,858/87,456 = 87,456/x
3. Step 3: Cross multiply
   39,858x = 87,456 × 87,456
4. Step 4: Simplify right side
   39,858x = 7,648,551,936
5. Step 5: Solve for x
   x = 7,648,551,936/39,858
6. Step 6: Final answer
   x = 191,895.03