Finding the Third Proportional to 83,529 and 175,260

Step by Step Solution

1. Step 1: Write the proportion equation
   83,529 : 175,260 = 175,260 : x
2. Step 2: Convert to fraction form
   83,529/175,260 = 175,260/x
3. Step 3: Cross multiply
   83,529x = 175,260 × 175,260
4. Step 4: Simplify right side
   83,529x = 30,716,067,600
5. Step 5: Solve for x
   x = 30,716,067,600/83,529
6. Step 6: Final answer
   x = 367,729.38