Finding the Third Proportional to 83,730 and 182,256

Step by Step Solution

1. Step 1: Write the proportion equation
   83,730 : 182,256 = 182,256 : x
2. Step 2: Convert to fraction form
   83,730/182,256 = 182,256/x
3. Step 3: Cross multiply
   83,730x = 182,256 × 182,256
4. Step 4: Simplify right side
   83,730x = 33,217,249,536
5. Step 5: Solve for x
   x = 33,217,249,536/83,730
6. Step 6: Final answer
   x = 396,718.61