Finding the Third Proportional to 49,540.50 and 106,977

Step by Step Solution

1. Step 1: Write the proportion equation
   49,540.50 : 106,977 = 106,977 : x
2. Step 2: Convert to fraction form
   49,540.50/106,977 = 106,977/x
3. Step 3: Cross multiply
   49,540.50x = 106,977 × 106,977
4. Step 4: Simplify right side
   49,540.50x = 11,444,078,529
5. Step 5: Solve for x
   x = 11,444,078,529/49,540.50
6. Step 6: Final answer
   x = 231,004.50