Finding the Third Proportional to 77,751 and 123,777

Step by Step Solution

1. Step 1: Write the proportion equation
   77,751 : 123,777 = 123,777 : x
2. Step 2: Convert to fraction form
   77,751/123,777 = 123,777/x
3. Step 3: Cross multiply
   77,751x = 123,777 × 123,777
4. Step 4: Simplify right side
   77,751x = 15,320,745,729
5. Step 5: Solve for x
   x = 15,320,745,729/77,751
6. Step 6: Final answer
   x = 197,048.86