Finding the Third Proportional to 48,020 and 111,636

Step by Step Solution

1. Step 1: Write the proportion equation
   48,020 : 111,636 = 111,636 : x
2. Step 2: Convert to fraction form
   48,020/111,636 = 111,636/x
3. Step 3: Cross multiply
   48,020x = 111,636 × 111,636
4. Step 4: Simplify right side
   48,020x = 12,462,596,496
5. Step 5: Solve for x
   x = 12,462,596,496/48,020
6. Step 6: Final answer
   x = 259,529.29