Finding the Third Proportional to 78,895 and 171,014

Step by Step Solution

1. Step 1: Write the proportion equation
   78,895 : 171,014 = 171,014 : x
2. Step 2: Convert to fraction form
   78,895/171,014 = 171,014/x
3. Step 3: Cross multiply
   78,895x = 171,014 × 171,014
4. Step 4: Simplify right side
   78,895x = 29,245,788,196
5. Step 5: Solve for x
   x = 29,245,788,196/78,895
6. Step 6: Final answer
   x = 370,692.54