Finding the Third Proportional to 83,782 and 182,108

Step by Step Solution

1. Step 1: Write the proportion equation
   83,782 : 182,108 = 182,108 : x
2. Step 2: Convert to fraction form
   83,782/182,108 = 182,108/x
3. Step 3: Cross multiply
   83,782x = 182,108 × 182,108
4. Step 4: Simplify right side
   83,782x = 33,163,323,664
5. Step 5: Solve for x
   x = 33,163,323,664/83,782
6. Step 6: Final answer
   x = 395,828.74