Finding the Third Proportional to 80,476 and 120,172

Step by Step Solution

1. Step 1: Write the proportion equation
   80,476 : 120,172 = 120,172 : x
2. Step 2: Convert to fraction form
   80,476/120,172 = 120,172/x
3. Step 3: Cross multiply
   80,476x = 120,172 × 120,172
4. Step 4: Simplify right side
   80,476x = 14,441,309,584
5. Step 5: Solve for x
   x = 14,441,309,584/80,476
6. Step 6: Final answer
   x = 179,448.65