Finding the Third Proportional to 82,215 and 111,402

Step by Step Solution

1. Step 1: Write the proportion equation
   82,215 : 111,402 = 111,402 : x
2. Step 2: Convert to fraction form
   82,215/111,402 = 111,402/x
3. Step 3: Cross multiply
   82,215x = 111,402 × 111,402
4. Step 4: Simplify right side
   82,215x = 12,410,405,604
5. Step 5: Solve for x
   x = 12,410,405,604/82,215
6. Step 6: Final answer
   x = 150,950.62