Finding the Third Proportional to 107,942 and 229,036

Step by Step Solution

1. Step 1: Write the proportion equation
   107,942 : 229,036 = 229,036 : x
2. Step 2: Convert to fraction form
   107,942/229,036 = 229,036/x
3. Step 3: Cross multiply
   107,942x = 229,036 × 229,036
4. Step 4: Simplify right side
   107,942x = 52,457,489,296
5. Step 5: Solve for x
   x = 52,457,489,296/107,942
6. Step 6: Final answer
   x = 485,978.48