Finding the Third Proportional to 105,711 and 228,414

Step by Step Solution

1. Step 1: Write the proportion equation
   105,711 : 228,414 = 228,414 : x
2. Step 2: Convert to fraction form
   105,711/228,414 = 228,414/x
3. Step 3: Cross multiply
   105,711x = 228,414 × 228,414
4. Step 4: Simplify right side
   105,711x = 52,172,955,396
5. Step 5: Solve for x
   x = 52,172,955,396/105,711
6. Step 6: Final answer
   x = 493,543.30