Finding the Third Proportional to 85,329 and 113,227

Step by Step Solution

1. Step 1: Write the proportion equation
   85,329 : 113,227 = 113,227 : x
2. Step 2: Convert to fraction form
   85,329/113,227 = 113,227/x
3. Step 3: Cross multiply
   85,329x = 113,227 × 113,227
4. Step 4: Simplify right side
   85,329x = 12,820,353,529
5. Step 5: Solve for x
   x = 12,820,353,529/85,329
6. Step 6: Final answer
   x = 150,246.15