Finding the Third Proportional to 89,774 and 185,386

Step by Step Solution

1. Step 1: Write the proportion equation
   89,774 : 185,386 = 185,386 : x
2. Step 2: Convert to fraction form
   89,774/185,386 = 185,386/x
3. Step 3: Cross multiply
   89,774x = 185,386 × 185,386
4. Step 4: Simplify right side
   89,774x = 34,367,968,996
5. Step 5: Solve for x
   x = 34,367,968,996/89,774
6. Step 6: Final answer
   x = 382,827.64