Finding the Third Proportional to 91,378 and 137,068

Step by Step Solution

1. Step 1: Write the proportion equation
   91,378 : 137,068 = 137,068 : x
2. Step 2: Convert to fraction form
   91,378/137,068 = 137,068/x
3. Step 3: Cross multiply
   91,378x = 137,068 × 137,068
4. Step 4: Simplify right side
   91,378x = 18,787,636,624
5. Step 5: Solve for x
   x = 18,787,636,624/91,378
6. Step 6: Final answer
   x = 205,603.50