Finding the Third Proportional to 80,596 and 174,148

Step by Step Solution

1. Step 1: Write the proportion equation
   80,596 : 174,148 = 174,148 : x
2. Step 2: Convert to fraction form
   80,596/174,148 = 174,148/x
3. Step 3: Cross multiply
   80,596x = 174,148 × 174,148
4. Step 4: Simplify right side
   80,596x = 30,327,525,904
5. Step 5: Solve for x
   x = 30,327,525,904/80,596
6. Step 6: Final answer
   x = 376,290.71