Finding the Third Proportional to 67,024 and 100,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,024 : 100,206.50 = 100,206.50 : x
2. Step 2: Convert to fraction form
   67,024/100,206.50 = 100,206.50/x
3. Step 3: Cross multiply
   67,024x = 100,206.50 × 100,206.50
4. Step 4: Simplify right side
   67,024x = 10,041,342,642.25
5. Step 5: Solve for x
   x = 10,041,342,642.25/67,024
6. Step 6: Final answer
   x = 149,817.12