Finding the Third Proportional to 48,242 and 103,406

Step by Step Solution

1. Step 1: Write the proportion equation
   48,242 : 103,406 = 103,406 : x
2. Step 2: Convert to fraction form
   48,242/103,406 = 103,406/x
3. Step 3: Cross multiply
   48,242x = 103,406 × 103,406
4. Step 4: Simplify right side
   48,242x = 10,692,800,836
5. Step 5: Solve for x
   x = 10,692,800,836/48,242
6. Step 6: Final answer
   x = 221,649.20