Finding the Third Proportional to 47,184 and 103,120

Step by Step Solution

1. Step 1: Write the proportion equation
   47,184 : 103,120 = 103,120 : x
2. Step 2: Convert to fraction form
   47,184/103,120 = 103,120/x
3. Step 3: Cross multiply
   47,184x = 103,120 × 103,120
4. Step 4: Simplify right side
   47,184x = 10,633,734,400
5. Step 5: Solve for x
   x = 10,633,734,400/47,184
6. Step 6: Final answer
   x = 225,367.38