Finding the Third Proportional to 105,014 and 228,460

Step by Step Solution

1. Step 1: Write the proportion equation
   105,014 : 228,460 = 228,460 : x
2. Step 2: Convert to fraction form
   105,014/228,460 = 228,460/x
3. Step 3: Cross multiply
   105,014x = 228,460 × 228,460
4. Step 4: Simplify right side
   105,014x = 52,193,971,600
5. Step 5: Solve for x
   x = 52,193,971,600/105,014
6. Step 6: Final answer
   x = 497,019.17