Finding the Third Proportional to 50,877 and 78,774

Step by Step Solution

1. Step 1: Write the proportion equation
   50,877 : 78,774 = 78,774 : x
2. Step 2: Convert to fraction form
   50,877/78,774 = 78,774/x
3. Step 3: Cross multiply
   50,877x = 78,774 × 78,774
4. Step 4: Simplify right side
   50,877x = 6,205,343,076
5. Step 5: Solve for x
   x = 6,205,343,076/50,877
6. Step 6: Final answer
   x = 121,967.55