Finding the Third Proportional to 80,294 and 174,888

Step by Step Solution

1. Step 1: Write the proportion equation
   80,294 : 174,888 = 174,888 : x
2. Step 2: Convert to fraction form
   80,294/174,888 = 174,888/x
3. Step 3: Cross multiply
   80,294x = 174,888 × 174,888
4. Step 4: Simplify right side
   80,294x = 30,585,812,544
5. Step 5: Solve for x
   x = 30,585,812,544/80,294
6. Step 6: Final answer
   x = 380,922.77