Finding the Third Proportional to 91,441 and 137,162

Step by Step Solution

1. Step 1: Write the proportion equation
   91,441 : 137,162 = 137,162 : x
2. Step 2: Convert to fraction form
   91,441/137,162 = 137,162/x
3. Step 3: Cross multiply
   91,441x = 137,162 × 137,162
4. Step 4: Simplify right side
   91,441x = 18,813,414,244
5. Step 5: Solve for x
   x = 18,813,414,244/91,441
6. Step 6: Final answer
   x = 205,743.75