Finding the Third Proportional to 78,142 and 170,986

Step by Step Solution

1. Step 1: Write the proportion equation
   78,142 : 170,986 = 170,986 : x
2. Step 2: Convert to fraction form
   78,142/170,986 = 170,986/x
3. Step 3: Cross multiply
   78,142x = 170,986 × 170,986
4. Step 4: Simplify right side
   78,142x = 29,236,212,196
5. Step 5: Solve for x
   x = 29,236,212,196/78,142
6. Step 6: Final answer
   x = 374,142.10