Finding the Third Proportional to 48,086 and 103,570

Step by Step Solution

1. Step 1: Write the proportion equation
   48,086 : 103,570 = 103,570 : x
2. Step 2: Convert to fraction form
   48,086/103,570 = 103,570/x
3. Step 3: Cross multiply
   48,086x = 103,570 × 103,570
4. Step 4: Simplify right side
   48,086x = 10,726,744,900
5. Step 5: Solve for x
   x = 10,726,744,900/48,086
6. Step 6: Final answer
   x = 223,074.18