Finding the Third Proportional to 49,774 and 105,164

Step by Step Solution

1. Step 1: Write the proportion equation
   49,774 : 105,164 = 105,164 : x
2. Step 2: Convert to fraction form
   49,774/105,164 = 105,164/x
3. Step 3: Cross multiply
   49,774x = 105,164 × 105,164
4. Step 4: Simplify right side
   49,774x = 11,059,466,896
5. Step 5: Solve for x
   x = 11,059,466,896/49,774
6. Step 6: Final answer
   x = 222,193.65