Finding the Third Proportional to 83,774 and 182,092

Step by Step Solution

1. Step 1: Write the proportion equation
   83,774 : 182,092 = 182,092 : x
2. Step 2: Convert to fraction form
   83,774/182,092 = 182,092/x
3. Step 3: Cross multiply
   83,774x = 182,092 × 182,092
4. Step 4: Simplify right side
   83,774x = 33,157,496,464
5. Step 5: Solve for x
   x = 33,157,496,464/83,774
6. Step 6: Final answer
   x = 395,796.98