Finding the Third Proportional to 80,535 and 174,942

Step by Step Solution

1. Step 1: Write the proportion equation
   80,535 : 174,942 = 174,942 : x
2. Step 2: Convert to fraction form
   80,535/174,942 = 174,942/x
3. Step 3: Cross multiply
   80,535x = 174,942 × 174,942
4. Step 4: Simplify right side
   80,535x = 30,604,703,364
5. Step 5: Solve for x
   x = 30,604,703,364/80,535
6. Step 6: Final answer
   x = 380,017.43