Finding the Third Proportional to 48,774 and 105,084

Step by Step Solution

1. Step 1: Write the proportion equation
   48,774 : 105,084 = 105,084 : x
2. Step 2: Convert to fraction form
   48,774/105,084 = 105,084/x
3. Step 3: Cross multiply
   48,774x = 105,084 × 105,084
4. Step 4: Simplify right side
   48,774x = 11,042,647,056
5. Step 5: Solve for x
   x = 11,042,647,056/48,774
6. Step 6: Final answer
   x = 226,404.38