Finding the Third Proportional to 83,340 and 182,322

Step by Step Solution

1. Step 1: Write the proportion equation
   83,340 : 182,322 = 182,322 : x
2. Step 2: Convert to fraction form
   83,340/182,322 = 182,322/x
3. Step 3: Cross multiply
   83,340x = 182,322 × 182,322
4. Step 4: Simplify right side
   83,340x = 33,241,311,684
5. Step 5: Solve for x
   x = 33,241,311,684/83,340
6. Step 6: Final answer
   x = 398,863.83