Finding the Third Proportional to 83,289 and 182,112

Step by Step Solution

1. Step 1: Write the proportion equation
   83,289 : 182,112 = 182,112 : x
2. Step 2: Convert to fraction form
   83,289/182,112 = 182,112/x
3. Step 3: Cross multiply
   83,289x = 182,112 × 182,112
4. Step 4: Simplify right side
   83,289x = 33,164,780,544
5. Step 5: Solve for x
   x = 33,164,780,544/83,289
6. Step 6: Final answer
   x = 398,189.20