Finding the Third Proportional to 83,210 and 179,540

Step by Step Solution

1. Step 1: Write the proportion equation
   83,210 : 179,540 = 179,540 : x
2. Step 2: Convert to fraction form
   83,210/179,540 = 179,540/x
3. Step 3: Cross multiply
   83,210x = 179,540 × 179,540
4. Step 4: Simplify right side
   83,210x = 32,234,611,600
5. Step 5: Solve for x
   x = 32,234,611,600/83,210
6. Step 6: Final answer
   x = 387,388.67