Finding the Third Proportional to 49,977 and 107,061

Step by Step Solution

1. Step 1: Write the proportion equation
   49,977 : 107,061 = 107,061 : x
2. Step 2: Convert to fraction form
   49,977/107,061 = 107,061/x
3. Step 3: Cross multiply
   49,977x = 107,061 × 107,061
4. Step 4: Simplify right side
   49,977x = 11,462,057,721
5. Step 5: Solve for x
   x = 11,462,057,721/49,977
6. Step 6: Final answer
   x = 229,346.65