Finding the Third Proportional to 81,910 and 172,562

Step by Step Solution

1. Step 1: Write the proportion equation
   81,910 : 172,562 = 172,562 : x
2. Step 2: Convert to fraction form
   81,910/172,562 = 172,562/x
3. Step 3: Cross multiply
   81,910x = 172,562 × 172,562
4. Step 4: Simplify right side
   81,910x = 29,777,643,844
5. Step 5: Solve for x
   x = 29,777,643,844/81,910
6. Step 6: Final answer
   x = 363,541.01