Finding the Third Proportional to 59,434 and 123,848

Step by Step Solution

1. Step 1: Write the proportion equation
   59,434 : 123,848 = 123,848 : x
2. Step 2: Convert to fraction form
   59,434/123,848 = 123,848/x
3. Step 3: Cross multiply
   59,434x = 123,848 × 123,848
4. Step 4: Simplify right side
   59,434x = 15,338,327,104
5. Step 5: Solve for x
   x = 15,338,327,104/59,434
6. Step 6: Final answer
   x = 258,073.28