Finding the Third Proportional to 80,194 and 174,048

Step by Step Solution

1. Step 1: Write the proportion equation
   80,194 : 174,048 = 174,048 : x
2. Step 2: Convert to fraction form
   80,194/174,048 = 174,048/x
3. Step 3: Cross multiply
   80,194x = 174,048 × 174,048
4. Step 4: Simplify right side
   80,194x = 30,292,706,304
5. Step 5: Solve for x
   x = 30,292,706,304/80,194
6. Step 6: Final answer
   x = 377,742.80