Finding the Third Proportional to 78,952 and 175,401

Step by Step Solution

1. Step 1: Write the proportion equation
   78,952 : 175,401 = 175,401 : x
2. Step 2: Convert to fraction form
   78,952/175,401 = 175,401/x
3. Step 3: Cross multiply
   78,952x = 175,401 × 175,401
4. Step 4: Simplify right side
   78,952x = 30,765,510,801
5. Step 5: Solve for x
   x = 30,765,510,801/78,952
6. Step 6: Final answer
   x = 389,673.61