Finding the Third Proportional to 83,588 and 162,990

Step by Step Solution

1. Step 1: Write the proportion equation
   83,588 : 162,990 = 162,990 : x
2. Step 2: Convert to fraction form
   83,588/162,990 = 162,990/x
3. Step 3: Cross multiply
   83,588x = 162,990 × 162,990
4. Step 4: Simplify right side
   83,588x = 26,565,740,100
5. Step 5: Solve for x
   x = 26,565,740,100/83,588
6. Step 6: Final answer
   x = 317,817.63