Finding the Third Proportional to 83,988 and 182,196

Step by Step Solution

1. Step 1: Write the proportion equation
   83,988 : 182,196 = 182,196 : x
2. Step 2: Convert to fraction form
   83,988/182,196 = 182,196/x
3. Step 3: Cross multiply
   83,988x = 182,196 × 182,196
4. Step 4: Simplify right side
   83,988x = 33,195,382,416
5. Step 5: Solve for x
   x = 33,195,382,416/83,988
6. Step 6: Final answer
   x = 395,239.59