Finding the Third Proportional to 80,136 and 120,216

Step by Step Solution

1. Step 1: Write the proportion equation
   80,136 : 120,216 = 120,216 : x
2. Step 2: Convert to fraction form
   80,136/120,216 = 120,216/x
3. Step 3: Cross multiply
   80,136x = 120,216 × 120,216
4. Step 4: Simplify right side
   80,136x = 14,451,886,656
5. Step 5: Solve for x
   x = 14,451,886,656/80,136
6. Step 6: Final answer
   x = 180,342.00