Finding the Third Proportional to 50,516 and 75,774

Step by Step Solution

1. Step 1: Write the proportion equation
   50,516 : 75,774 = 75,774 : x
2. Step 2: Convert to fraction form
   50,516/75,774 = 75,774/x
3. Step 3: Cross multiply
   50,516x = 75,774 × 75,774
4. Step 4: Simplify right side
   50,516x = 5,741,699,076
5. Step 5: Solve for x
   x = 5,741,699,076/50,516
6. Step 6: Final answer
   x = 113,661