Finding the Third Proportional to 55,633 and 123,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,633 : 123,704.50 = 123,704.50 : x
2. Step 2: Convert to fraction form
   55,633/123,704.50 = 123,704.50/x
3. Step 3: Cross multiply
   55,633x = 123,704.50 × 123,704.50
4. Step 4: Simplify right side
   55,633x = 15,302,803,320.25
5. Step 5: Solve for x
   x = 15,302,803,320.25/55,633
6. Step 6: Final answer
   x = 275,067.02