Finding the Third Proportional to 82,624 and 111,360

Step by Step Solution

1. Step 1: Write the proportion equation
   82,624 : 111,360 = 111,360 : x
2. Step 2: Convert to fraction form
   82,624/111,360 = 111,360/x
3. Step 3: Cross multiply
   82,624x = 111,360 × 111,360
4. Step 4: Simplify right side
   82,624x = 12,401,049,600
5. Step 5: Solve for x
   x = 12,401,049,600/82,624
6. Step 6: Final answer
   x = 150,090.16