Finding the Third Proportional to 83,619 and 174,162

Step by Step Solution

1. Step 1: Write the proportion equation
   83,619 : 174,162 = 174,162 : x
2. Step 2: Convert to fraction form
   83,619/174,162 = 174,162/x
3. Step 3: Cross multiply
   83,619x = 174,162 × 174,162
4. Step 4: Simplify right side
   83,619x = 30,332,402,244
5. Step 5: Solve for x
   x = 30,332,402,244/83,619
6. Step 6: Final answer
   x = 362,745.34