Finding the Third Proportional to 105,433 and 226,994

Step by Step Solution

1. Step 1: Write the proportion equation
   105,433 : 226,994 = 226,994 : x
2. Step 2: Convert to fraction form
   105,433/226,994 = 226,994/x
3. Step 3: Cross multiply
   105,433x = 226,994 × 226,994
4. Step 4: Simplify right side
   105,433x = 51,526,276,036
5. Step 5: Solve for x
   x = 51,526,276,036/105,433
6. Step 6: Final answer
   x = 488,711.09