Finding the Third Proportional to 78,469 and 172,774

Step by Step Solution

1. Step 1: Write the proportion equation
   78,469 : 172,774 = 172,774 : x
2. Step 2: Convert to fraction form
   78,469/172,774 = 172,774/x
3. Step 3: Cross multiply
   78,469x = 172,774 × 172,774
4. Step 4: Simplify right side
   78,469x = 29,850,855,076
5. Step 5: Solve for x
   x = 29,850,855,076/78,469
6. Step 6: Final answer
   x = 380,415.90