Finding the Third Proportional to 83,223 and 182,014

Step by Step Solution

1. Step 1: Write the proportion equation
   83,223 : 182,014 = 182,014 : x
2. Step 2: Convert to fraction form
   83,223/182,014 = 182,014/x
3. Step 3: Cross multiply
   83,223x = 182,014 × 182,014
4. Step 4: Simplify right side
   83,223x = 33,129,096,196
5. Step 5: Solve for x
   x = 33,129,096,196/83,223
6. Step 6: Final answer
   x = 398,076.21