Finding the Third Proportional to 82,217 and 111,405

Step by Step Solution

1. Step 1: Write the proportion equation
   82,217 : 111,405 = 111,405 : x
2. Step 2: Convert to fraction form
   82,217/111,405 = 111,405/x
3. Step 3: Cross multiply
   82,217x = 111,405 × 111,405
4. Step 4: Simplify right side
   82,217x = 12,411,074,025
5. Step 5: Solve for x
   x = 12,411,074,025/82,217
6. Step 6: Final answer
   x = 150,955.08