Finding the Third Proportional to 105,172 and 228,089

Step by Step Solution

1. Step 1: Write the proportion equation
   105,172 : 228,089 = 228,089 : x
2. Step 2: Convert to fraction form
   105,172/228,089 = 228,089/x
3. Step 3: Cross multiply
   105,172x = 228,089 × 228,089
4. Step 4: Simplify right side
   105,172x = 52,024,591,921
5. Step 5: Solve for x
   x = 52,024,591,921/105,172
6. Step 6: Final answer
   x = 494,662.00