Finding the Third Proportional to 80,642 and 185,093

Step by Step Solution

1. Step 1: Write the proportion equation
   80,642 : 185,093 = 185,093 : x
2. Step 2: Convert to fraction form
   80,642/185,093 = 185,093/x
3. Step 3: Cross multiply
   80,642x = 185,093 × 185,093
4. Step 4: Simplify right side
   80,642x = 34,259,418,649
5. Step 5: Solve for x
   x = 34,259,418,649/80,642
6. Step 6: Final answer
   x = 424,833.44