Finding the Third Proportional to 83,221 and 182,012

Step by Step Solution

1. Step 1: Write the proportion equation
   83,221 : 182,012 = 182,012 : x
2. Step 2: Convert to fraction form
   83,221/182,012 = 182,012/x
3. Step 3: Cross multiply
   83,221x = 182,012 × 182,012
4. Step 4: Simplify right side
   83,221x = 33,128,368,144
5. Step 5: Solve for x
   x = 33,128,368,144/83,221
6. Step 6: Final answer
   x = 398,077.03