Finding the Third Proportional to 50,908 and 77,442

Step by Step Solution

1. Step 1: Write the proportion equation
   50,908 : 77,442 = 77,442 : x
2. Step 2: Convert to fraction form
   50,908/77,442 = 77,442/x
3. Step 3: Cross multiply
   50,908x = 77,442 × 77,442
4. Step 4: Simplify right side
   50,908x = 5,997,263,364
5. Step 5: Solve for x
   x = 5,997,263,364/50,908
6. Step 6: Final answer
   x = 117,805.91