Finding the Third Proportional to 80,427 and 174,093

Step by Step Solution

1. Step 1: Write the proportion equation
   80,427 : 174,093 = 174,093 : x
2. Step 2: Convert to fraction form
   80,427/174,093 = 174,093/x
3. Step 3: Cross multiply
   80,427x = 174,093 × 174,093
4. Step 4: Simplify right side
   80,427x = 30,308,372,649
5. Step 5: Solve for x
   x = 30,308,372,649/80,427
6. Step 6: Final answer
   x = 376,843.26