Finding the Third Proportional to 83,035 and 179,197

Step by Step Solution

1. Step 1: Write the proportion equation
   83,035 : 179,197 = 179,197 : x
2. Step 2: Convert to fraction form
   83,035/179,197 = 179,197/x
3. Step 3: Cross multiply
   83,035x = 179,197 × 179,197
4. Step 4: Simplify right side
   83,035x = 32,111,564,809
5. Step 5: Solve for x
   x = 32,111,564,809/83,035
6. Step 6: Final answer
   x = 386,723.25