Finding the Third Proportional to 101,486 and 213,916

Step by Step Solution

1. Step 1: Write the proportion equation
   101,486 : 213,916 = 213,916 : x
2. Step 2: Convert to fraction form
   101,486/213,916 = 213,916/x
3. Step 3: Cross multiply
   101,486x = 213,916 × 213,916
4. Step 4: Simplify right side
   101,486x = 45,760,055,056
5. Step 5: Solve for x
   x = 45,760,055,056/101,486
6. Step 6: Final answer
   x = 450,900.17