Finding the Third Proportional to 59,523.50 and 123,977

Step by Step Solution

1. Step 1: Write the proportion equation
   59,523.50 : 123,977 = 123,977 : x
2. Step 2: Convert to fraction form
   59,523.50/123,977 = 123,977/x
3. Step 3: Cross multiply
   59,523.50x = 123,977 × 123,977
4. Step 4: Simplify right side
   59,523.50x = 15,370,296,529
5. Step 5: Solve for x
   x = 15,370,296,529/59,523.50
6. Step 6: Final answer
   x = 258,222.32