Finding the Third Proportional to 83,990 and 182,200

Step by Step Solution

1. Step 1: Write the proportion equation
   83,990 : 182,200 = 182,200 : x
2. Step 2: Convert to fraction form
   83,990/182,200 = 182,200/x
3. Step 3: Cross multiply
   83,990x = 182,200 × 182,200
4. Step 4: Simplify right side
   83,990x = 33,196,840,000
5. Step 5: Solve for x
   x = 33,196,840,000/83,990
6. Step 6: Final answer
   x = 395,247.53