Finding the Third Proportional to 105,364 and 228,584

Step by Step Solution

1. Step 1: Write the proportion equation
   105,364 : 228,584 = 228,584 : x
2. Step 2: Convert to fraction form
   105,364/228,584 = 228,584/x
3. Step 3: Cross multiply
   105,364x = 228,584 × 228,584
4. Step 4: Simplify right side
   105,364x = 52,250,645,056
5. Step 5: Solve for x
   x = 52,250,645,056/105,364
6. Step 6: Final answer
   x = 495,906.05