Finding the Third Proportional to 82,264 and 180,242

Step by Step Solution

1. Step 1: Write the proportion equation
   82,264 : 180,242 = 180,242 : x
2. Step 2: Convert to fraction form
   82,264/180,242 = 180,242/x
3. Step 3: Cross multiply
   82,264x = 180,242 × 180,242
4. Step 4: Simplify right side
   82,264x = 32,487,178,564
5. Step 5: Solve for x
   x = 32,487,178,564/82,264
6. Step 6: Final answer
   x = 394,913.68