Finding the Third Proportional to 79,092 and 172,774

Step by Step Solution

1. Step 1: Write the proportion equation
   79,092 : 172,774 = 172,774 : x
2. Step 2: Convert to fraction form
   79,092/172,774 = 172,774/x
3. Step 3: Cross multiply
   79,092x = 172,774 × 172,774
4. Step 4: Simplify right side
   79,092x = 29,850,855,076
5. Step 5: Solve for x
   x = 29,850,855,076/79,092
6. Step 6: Final answer
   x = 377,419.40