Finding the Third Proportional to 82,153 and 172,598

Step by Step Solution

1. Step 1: Write the proportion equation
   82,153 : 172,598 = 172,598 : x
2. Step 2: Convert to fraction form
   82,153/172,598 = 172,598/x
3. Step 3: Cross multiply
   82,153x = 172,598 × 172,598
4. Step 4: Simplify right side
   82,153x = 29,790,069,604
5. Step 5: Solve for x
   x = 29,790,069,604/82,153
6. Step 6: Final answer
   x = 362,616.94