Finding the Third Proportional to 80,751 and 174,426

Step by Step Solution

1. Step 1: Write the proportion equation
   80,751 : 174,426 = 174,426 : x
2. Step 2: Convert to fraction form
   80,751/174,426 = 174,426/x
3. Step 3: Cross multiply
   80,751x = 174,426 × 174,426
4. Step 4: Simplify right side
   80,751x = 30,424,429,476
5. Step 5: Solve for x
   x = 30,424,429,476/80,751
6. Step 6: Final answer
   x = 376,768.45