Finding the Third Proportional to 50,776 and 77,355

Step by Step Solution

1. Step 1: Write the proportion equation
   50,776 : 77,355 = 77,355 : x
2. Step 2: Convert to fraction form
   50,776/77,355 = 77,355/x
3. Step 3: Cross multiply
   50,776x = 77,355 × 77,355
4. Step 4: Simplify right side
   50,776x = 5,983,796,025
5. Step 5: Solve for x
   x = 5,983,796,025/50,776
6. Step 6: Final answer
   x = 117,846.94