Finding the Third Proportional to 82,452 and 112,005

Step by Step Solution

1. Step 1: Write the proportion equation
   82,452 : 112,005 = 112,005 : x
2. Step 2: Convert to fraction form
   82,452/112,005 = 112,005/x
3. Step 3: Cross multiply
   82,452x = 112,005 × 112,005
4. Step 4: Simplify right side
   82,452x = 12,545,120,025
5. Step 5: Solve for x
   x = 12,545,120,025/82,452
6. Step 6: Final answer
   x = 152,150.58