Finding the Third Proportional to 83,151 and 182,399

Step by Step Solution

1. Step 1: Write the proportion equation
   83,151 : 182,399 = 182,399 : x
2. Step 2: Convert to fraction form
   83,151/182,399 = 182,399/x
3. Step 3: Cross multiply
   83,151x = 182,399 × 182,399
4. Step 4: Simplify right side
   83,151x = 33,269,395,201
5. Step 5: Solve for x
   x = 33,269,395,201/83,151
6. Step 6: Final answer
   x = 400,108.18