Finding the Third Proportional to 83,528 and 179,980

Step by Step Solution

1. Step 1: Write the proportion equation
   83,528 : 179,980 = 179,980 : x
2. Step 2: Convert to fraction form
   83,528/179,980 = 179,980/x
3. Step 3: Cross multiply
   83,528x = 179,980 × 179,980
4. Step 4: Simplify right side
   83,528x = 32,392,800,400
5. Step 5: Solve for x
   x = 32,392,800,400/83,528
6. Step 6: Final answer
   x = 387,807.69