Finding the Third Proportional to 82,134 and 172,854

Step by Step Solution

1. Step 1: Write the proportion equation
   82,134 : 172,854 = 172,854 : x
2. Step 2: Convert to fraction form
   82,134/172,854 = 172,854/x
3. Step 3: Cross multiply
   82,134x = 172,854 × 172,854
4. Step 4: Simplify right side
   82,134x = 29,878,505,316
5. Step 5: Solve for x
   x = 29,878,505,316/82,134
6. Step 6: Final answer
   x = 363,777.55