Finding the Third Proportional to 78,734 and 167,980

Step by Step Solution

1. Step 1: Write the proportion equation
   78,734 : 167,980 = 167,980 : x
2. Step 2: Convert to fraction form
   78,734/167,980 = 167,980/x
3. Step 3: Cross multiply
   78,734x = 167,980 × 167,980
4. Step 4: Simplify right side
   78,734x = 28,217,280,400
5. Step 5: Solve for x
   x = 28,217,280,400/78,734
6. Step 6: Final answer
   x = 358,387.49