Finding the Third Proportional to 49,774 and 77,182

Step by Step Solution

1. Step 1: Write the proportion equation
   49,774 : 77,182 = 77,182 : x
2. Step 2: Convert to fraction form
   49,774/77,182 = 77,182/x
3. Step 3: Cross multiply
   49,774x = 77,182 × 77,182
4. Step 4: Simplify right side
   49,774x = 5,957,061,124
5. Step 5: Solve for x
   x = 5,957,061,124/49,774
6. Step 6: Final answer
   x = 119,682.19