Finding the Third Proportional to 49,977 and 77,355

Step by Step Solution

1. Step 1: Write the proportion equation
   49,977 : 77,355 = 77,355 : x
2. Step 2: Convert to fraction form
   49,977/77,355 = 77,355/x
3. Step 3: Cross multiply
   49,977x = 77,355 × 77,355
4. Step 4: Simplify right side
   49,977x = 5,983,796,025
5. Step 5: Solve for x
   x = 5,983,796,025/49,977
6. Step 6: Final answer
   x = 119,731.00