Finding the Third Proportional to 59,433 and 123,801

Step by Step Solution

1. Step 1: Write the proportion equation
   59,433 : 123,801 = 123,801 : x
2. Step 2: Convert to fraction form
   59,433/123,801 = 123,801/x
3. Step 3: Cross multiply
   59,433x = 123,801 × 123,801
4. Step 4: Simplify right side
   59,433x = 15,326,687,601
5. Step 5: Solve for x
   x = 15,326,687,601/59,433
6. Step 6: Final answer
   x = 257,881.78