Finding the Third Proportional to 82,160 and 172,610

Step by Step Solution

1. Step 1: Write the proportion equation
   82,160 : 172,610 = 172,610 : x
2. Step 2: Convert to fraction form
   82,160/172,610 = 172,610/x
3. Step 3: Cross multiply
   82,160x = 172,610 × 172,610
4. Step 4: Simplify right side
   82,160x = 29,794,212,100
5. Step 5: Solve for x
   x = 29,794,212,100/82,160
6. Step 6: Final answer
   x = 362,636.47