Finding the Third Proportional to 47,520 and 102,648

Step by Step Solution

1. Step 1: Write the proportion equation
   47,520 : 102,648 = 102,648 : x
2. Step 2: Convert to fraction form
   47,520/102,648 = 102,648/x
3. Step 3: Cross multiply
   47,520x = 102,648 × 102,648
4. Step 4: Simplify right side
   47,520x = 10,536,611,904
5. Step 5: Solve for x
   x = 10,536,611,904/47,520
6. Step 6: Final answer
   x = 221,730.05