Finding the Third Proportional to 83,660 and 175,932

Step by Step Solution

1. Step 1: Write the proportion equation
   83,660 : 175,932 = 175,932 : x
2. Step 2: Convert to fraction form
   83,660/175,932 = 175,932/x
3. Step 3: Cross multiply
   83,660x = 175,932 × 175,932
4. Step 4: Simplify right side
   83,660x = 30,952,068,624
5. Step 5: Solve for x
   x = 30,952,068,624/83,660
6. Step 6: Final answer
   x = 369,974.52