Finding the Third Proportional to 83,026 and 171,962

Step by Step Solution

1. Step 1: Write the proportion equation
   83,026 : 171,962 = 171,962 : x
2. Step 2: Convert to fraction form
   83,026/171,962 = 171,962/x
3. Step 3: Cross multiply
   83,026x = 171,962 × 171,962
4. Step 4: Simplify right side
   83,026x = 29,570,929,444
5. Step 5: Solve for x
   x = 29,570,929,444/83,026
6. Step 6: Final answer
   x = 356,164.69