Finding the Third Proportional to 80,332 and 174,964

Step by Step Solution

1. Step 1: Write the proportion equation
   80,332 : 174,964 = 174,964 : x
2. Step 2: Convert to fraction form
   80,332/174,964 = 174,964/x
3. Step 3: Cross multiply
   80,332x = 174,964 × 174,964
4. Step 4: Simplify right side
   80,332x = 30,612,401,296
5. Step 5: Solve for x
   x = 30,612,401,296/80,332
6. Step 6: Final answer
   x = 381,073.56