Finding the Third Proportional to 48,680 and 103,648

Step by Step Solution

1. Step 1: Write the proportion equation
   48,680 : 103,648 = 103,648 : x
2. Step 2: Convert to fraction form
   48,680/103,648 = 103,648/x
3. Step 3: Cross multiply
   48,680x = 103,648 × 103,648
4. Step 4: Simplify right side
   48,680x = 10,742,907,904
5. Step 5: Solve for x
   x = 10,742,907,904/48,680
6. Step 6: Final answer
   x = 220,684.22