Finding the Third Proportional to 89,862 and 213,687

Step by Step Solution

1. Step 1: Write the proportion equation
   89,862 : 213,687 = 213,687 : x
2. Step 2: Convert to fraction form
   89,862/213,687 = 213,687/x
3. Step 3: Cross multiply
   89,862x = 213,687 × 213,687
4. Step 4: Simplify right side
   89,862x = 45,662,133,969
5. Step 5: Solve for x
   x = 45,662,133,969/89,862
6. Step 6: Final answer
   x = 508,136.19