Finding the Third Proportional to 91,344 and 137,016

Step by Step Solution

1. Step 1: Write the proportion equation
   91,344 : 137,016 = 137,016 : x
2. Step 2: Convert to fraction form
   91,344/137,016 = 137,016/x
3. Step 3: Cross multiply
   91,344x = 137,016 × 137,016
4. Step 4: Simplify right side
   91,344x = 18,773,384,256
5. Step 5: Solve for x
   x = 18,773,384,256/91,344
6. Step 6: Final answer
   x = 205,524