Finding the Third Proportional to 105,281 and 228,298

Step by Step Solution

1. Step 1: Write the proportion equation
   105,281 : 228,298 = 228,298 : x
2. Step 2: Convert to fraction form
   105,281/228,298 = 228,298/x
3. Step 3: Cross multiply
   105,281x = 228,298 × 228,298
4. Step 4: Simplify right side
   105,281x = 52,119,976,804
5. Step 5: Solve for x
   x = 52,119,976,804/105,281
6. Step 6: Final answer
   x = 495,055.87