Finding the Third Proportional to 83,564 and 182,372

Step by Step Solution

1. Step 1: Write the proportion equation
   83,564 : 182,372 = 182,372 : x
2. Step 2: Convert to fraction form
   83,564/182,372 = 182,372/x
3. Step 3: Cross multiply
   83,564x = 182,372 × 182,372
4. Step 4: Simplify right side
   83,564x = 33,259,546,384
5. Step 5: Solve for x
   x = 33,259,546,384/83,564
6. Step 6: Final answer
   x = 398,012.86