Finding the Third Proportional to 83,636 and 176,990

Step by Step Solution

1. Step 1: Write the proportion equation
   83,636 : 176,990 = 176,990 : x
2. Step 2: Convert to fraction form
   83,636/176,990 = 176,990/x
3. Step 3: Cross multiply
   83,636x = 176,990 × 176,990
4. Step 4: Simplify right side
   83,636x = 31,325,460,100
5. Step 5: Solve for x
   x = 31,325,460,100/83,636
6. Step 6: Final answer
   x = 374,545.17