Finding the Third Proportional to 83,342 and 182,326

Step by Step Solution

1. Step 1: Write the proportion equation
   83,342 : 182,326 = 182,326 : x
2. Step 2: Convert to fraction form
   83,342/182,326 = 182,326/x
3. Step 3: Cross multiply
   83,342x = 182,326 × 182,326
4. Step 4: Simplify right side
   83,342x = 33,242,770,276
5. Step 5: Solve for x
   x = 33,242,770,276/83,342
6. Step 6: Final answer
   x = 398,871.76