Finding the Third Proportional to 89,072 and 185,491

Step by Step Solution

1. Step 1: Write the proportion equation
   89,072 : 185,491 = 185,491 : x
2. Step 2: Convert to fraction form
   89,072/185,491 = 185,491/x
3. Step 3: Cross multiply
   89,072x = 185,491 × 185,491
4. Step 4: Simplify right side
   89,072x = 34,406,911,081
5. Step 5: Solve for x
   x = 34,406,911,081/89,072
6. Step 6: Final answer
   x = 386,282.01