Finding the Third Proportional to 40,320 and 87,564

Step by Step Solution

1. Step 1: Write the proportion equation
   40,320 : 87,564 = 87,564 : x
2. Step 2: Convert to fraction form
   40,320/87,564 = 87,564/x
3. Step 3: Cross multiply
   40,320x = 87,564 × 87,564
4. Step 4: Simplify right side
   40,320x = 7,667,454,096
5. Step 5: Solve for x
   x = 7,667,454,096/40,320
6. Step 6: Final answer
   x = 190,165.03