Finding the Third Proportional to 83,751 and 182,253

Step by Step Solution

1. Step 1: Write the proportion equation
   83,751 : 182,253 = 182,253 : x
2. Step 2: Convert to fraction form
   83,751/182,253 = 182,253/x
3. Step 3: Cross multiply
   83,751x = 182,253 × 182,253
4. Step 4: Simplify right side
   83,751x = 33,216,156,009
5. Step 5: Solve for x
   x = 33,216,156,009/83,751
6. Step 6: Final answer
   x = 396,606.08