Finding the Third Proportional to 78,014 and 171,284

Step by Step Solution

1. Step 1: Write the proportion equation
   78,014 : 171,284 = 171,284 : x
2. Step 2: Convert to fraction form
   78,014/171,284 = 171,284/x
3. Step 3: Cross multiply
   78,014x = 171,284 × 171,284
4. Step 4: Simplify right side
   78,014x = 29,338,208,656
5. Step 5: Solve for x
   x = 29,338,208,656/78,014
6. Step 6: Final answer
   x = 376,063.38