Finding the Third Proportional to 83,244 and 178,398

Step by Step Solution

1. Step 1: Write the proportion equation
   83,244 : 178,398 = 178,398 : x
2. Step 2: Convert to fraction form
   83,244/178,398 = 178,398/x
3. Step 3: Cross multiply
   83,244x = 178,398 × 178,398
4. Step 4: Simplify right side
   83,244x = 31,825,846,404
5. Step 5: Solve for x
   x = 31,825,846,404/83,244
6. Step 6: Final answer
   x = 382,320.00