Finding the Third Proportional to 85,255 and 185,774

Step by Step Solution

1. Step 1: Write the proportion equation
   85,255 : 185,774 = 185,774 : x
2. Step 2: Convert to fraction form
   85,255/185,774 = 185,774/x
3. Step 3: Cross multiply
   85,255x = 185,774 × 185,774
4. Step 4: Simplify right side
   85,255x = 34,511,979,076
5. Step 5: Solve for x
   x = 34,511,979,076/85,255
6. Step 6: Final answer
   x = 404,808.86