Finding the Third Proportional to 105,160 and 228,064

Step by Step Solution

1. Step 1: Write the proportion equation
   105,160 : 228,064 = 228,064 : x
2. Step 2: Convert to fraction form
   105,160/228,064 = 228,064/x
3. Step 3: Cross multiply
   105,160x = 228,064 × 228,064
4. Step 4: Simplify right side
   105,160x = 52,013,188,096
5. Step 5: Solve for x
   x = 52,013,188,096/105,160
6. Step 6: Final answer
   x = 494,610.00