Finding the Third Proportional to 83,790 and 182,321

Step by Step Solution

1. Step 1: Write the proportion equation
   83,790 : 182,321 = 182,321 : x
2. Step 2: Convert to fraction form
   83,790/182,321 = 182,321/x
3. Step 3: Cross multiply
   83,790x = 182,321 × 182,321
4. Step 4: Simplify right side
   83,790x = 33,240,947,041
5. Step 5: Solve for x
   x = 33,240,947,041/83,790
6. Step 6: Final answer
   x = 396,717.35