Finding the Third Proportional to 83,772 and 175,804

Step by Step Solution

1. Step 1: Write the proportion equation
   83,772 : 175,804 = 175,804 : x
2. Step 2: Convert to fraction form
   83,772/175,804 = 175,804/x
3. Step 3: Cross multiply
   83,772x = 175,804 × 175,804
4. Step 4: Simplify right side
   83,772x = 30,907,046,416
5. Step 5: Solve for x
   x = 30,907,046,416/83,772
6. Step 6: Final answer
   x = 368,942.44