Finding the Third Proportional to 40,380 and 87,648

Step by Step Solution

1. Step 1: Write the proportion equation
   40,380 : 87,648 = 87,648 : x
2. Step 2: Convert to fraction form
   40,380/87,648 = 87,648/x
3. Step 3: Cross multiply
   40,380x = 87,648 × 87,648
4. Step 4: Simplify right side
   40,380x = 7,682,171,904
5. Step 5: Solve for x
   x = 7,682,171,904/40,380
6. Step 6: Final answer
   x = 190,246.95