Finding the Third Proportional to 48,536 and 103,820

Step by Step Solution

1. Step 1: Write the proportion equation
   48,536 : 103,820 = 103,820 : x
2. Step 2: Convert to fraction form
   48,536/103,820 = 103,820/x
3. Step 3: Cross multiply
   48,536x = 103,820 × 103,820
4. Step 4: Simplify right side
   48,536x = 10,778,592,400
5. Step 5: Solve for x
   x = 10,778,592,400/48,536
6. Step 6: Final answer
   x = 222,074.18