Finding the Third Proportional to 80,690 and 174,988

Step by Step Solution

1. Step 1: Write the proportion equation
   80,690 : 174,988 = 174,988 : x
2. Step 2: Convert to fraction form
   80,690/174,988 = 174,988/x
3. Step 3: Cross multiply
   80,690x = 174,988 × 174,988
4. Step 4: Simplify right side
   80,690x = 30,620,800,144
5. Step 5: Solve for x
   x = 30,620,800,144/80,690
6. Step 6: Final answer
   x = 379,486.93