Finding the Third Proportional to 78,076 and 170,960

Step by Step Solution

1. Step 1: Write the proportion equation
   78,076 : 170,960 = 170,960 : x
2. Step 2: Convert to fraction form
   78,076/170,960 = 170,960/x
3. Step 3: Cross multiply
   78,076x = 170,960 × 170,960
4. Step 4: Simplify right side
   78,076x = 29,227,321,600
5. Step 5: Solve for x
   x = 29,227,321,600/78,076
6. Step 6: Final answer
   x = 374,344.51