Finding the Third Proportional to 49,774 and 77,181

Step by Step Solution

1. Step 1: Write the proportion equation
   49,774 : 77,181 = 77,181 : x
2. Step 2: Convert to fraction form
   49,774/77,181 = 77,181/x
3. Step 3: Cross multiply
   49,774x = 77,181 × 77,181
4. Step 4: Simplify right side
   49,774x = 5,956,906,761
5. Step 5: Solve for x
   x = 5,956,906,761/49,774
6. Step 6: Final answer
   x = 119,679.08