Finding the Third Proportional to 53,926 and 113,436

Step by Step Solution

1. Step 1: Write the proportion equation
   53,926 : 113,436 = 113,436 : x
2. Step 2: Convert to fraction form
   53,926/113,436 = 113,436/x
3. Step 3: Cross multiply
   53,926x = 113,436 × 113,436
4. Step 4: Simplify right side
   53,926x = 12,867,726,096
5. Step 5: Solve for x
   x = 12,867,726,096/53,926
6. Step 6: Final answer
   x = 238,618.22