Finding the Third Proportional to 83,684 and 175,990

Step by Step Solution

1. Step 1: Write the proportion equation
   83,684 : 175,990 = 175,990 : x
2. Step 2: Convert to fraction form
   83,684/175,990 = 175,990/x
3. Step 3: Cross multiply
   83,684x = 175,990 × 175,990
4. Step 4: Simplify right side
   83,684x = 30,972,480,100
5. Step 5: Solve for x
   x = 30,972,480,100/83,684
6. Step 6: Final answer
   x = 370,112.33