Finding the Third Proportional to 78,906 and 171,636

Step by Step Solution

1. Step 1: Write the proportion equation
   78,906 : 171,636 = 171,636 : x
2. Step 2: Convert to fraction form
   78,906/171,636 = 171,636/x
3. Step 3: Cross multiply
   78,906x = 171,636 × 171,636
4. Step 4: Simplify right side
   78,906x = 29,458,916,496
5. Step 5: Solve for x
   x = 29,458,916,496/78,906
6. Step 6: Final answer
   x = 373,341.91