Finding the Third Proportional to 83,662 and 175,936

Step by Step Solution

1. Step 1: Write the proportion equation
   83,662 : 175,936 = 175,936 : x
2. Step 2: Convert to fraction form
   83,662/175,936 = 175,936/x
3. Step 3: Cross multiply
   83,662x = 175,936 × 175,936
4. Step 4: Simplify right side
   83,662x = 30,953,476,096
5. Step 5: Solve for x
   x = 30,953,476,096/83,662
6. Step 6: Final answer
   x = 369,982.50