Finding the Third Proportional to 105,644 and 230,242

Step by Step Solution

1. Step 1: Write the proportion equation
   105,644 : 230,242 = 230,242 : x
2. Step 2: Convert to fraction form
   105,644/230,242 = 230,242/x
3. Step 3: Cross multiply
   105,644x = 230,242 × 230,242
4. Step 4: Simplify right side
   105,644x = 53,011,378,564
5. Step 5: Solve for x
   x = 53,011,378,564/105,644
6. Step 6: Final answer
   x = 501,792.61