Finding the Third Proportional to 55,434 and 118,636

Step by Step Solution

1. Step 1: Write the proportion equation
   55,434 : 118,636 = 118,636 : x
2. Step 2: Convert to fraction form
   55,434/118,636 = 118,636/x
3. Step 3: Cross multiply
   55,434x = 118,636 × 118,636
4. Step 4: Simplify right side
   55,434x = 14,074,500,496
5. Step 5: Solve for x
   x = 14,074,500,496/55,434
6. Step 6: Final answer
   x = 253,896.53