Finding the Third Proportional to 67,178.50 and 100,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,178.50 : 100,416.50 = 100,416.50 : x
2. Step 2: Convert to fraction form
   67,178.50/100,416.50 = 100,416.50/x
3. Step 3: Cross multiply
   67,178.50x = 100,416.50 × 100,416.50
4. Step 4: Simplify right side
   67,178.50x = 10,083,473,472.25
5. Step 5: Solve for x
   x = 10,083,473,472.25/67,178.50
6. Step 6: Final answer
   x = 150,099.71