Finding the Third Proportional to 80,328 and 174,960

Step by Step Solution

1. Step 1: Write the proportion equation
   80,328 : 174,960 = 174,960 : x
2. Step 2: Convert to fraction form
   80,328/174,960 = 174,960/x
3. Step 3: Cross multiply
   80,328x = 174,960 × 174,960
4. Step 4: Simplify right side
   80,328x = 30,611,001,600
5. Step 5: Solve for x
   x = 30,611,001,600/80,328
6. Step 6: Final answer
   x = 381,075.11