Finding the Third Proportional to 82,026 and 173,772

Step by Step Solution

1. Step 1: Write the proportion equation
   82,026 : 173,772 = 173,772 : x
2. Step 2: Convert to fraction form
   82,026/173,772 = 173,772/x
3. Step 3: Cross multiply
   82,026x = 173,772 × 173,772
4. Step 4: Simplify right side
   82,026x = 30,196,707,984
5. Step 5: Solve for x
   x = 30,196,707,984/82,026
6. Step 6: Final answer
   x = 368,135.81