Finding the Third Proportional to 78,682 and 172,916

Step by Step Solution

1. Step 1: Write the proportion equation
   78,682 : 172,916 = 172,916 : x
2. Step 2: Convert to fraction form
   78,682/172,916 = 172,916/x
3. Step 3: Cross multiply
   78,682x = 172,916 × 172,916
4. Step 4: Simplify right side
   78,682x = 29,899,943,056
5. Step 5: Solve for x
   x = 29,899,943,056/78,682
6. Step 6: Final answer
   x = 380,009.95