Finding the Third Proportional to 105,154 and 228,055

Step by Step Solution

1. Step 1: Write the proportion equation
   105,154 : 228,055 = 228,055 : x
2. Step 2: Convert to fraction form
   105,154/228,055 = 228,055/x
3. Step 3: Cross multiply
   105,154x = 228,055 × 228,055
4. Step 4: Simplify right side
   105,154x = 52,009,083,025
5. Step 5: Solve for x
   x = 52,009,083,025/105,154
6. Step 6: Final answer
   x = 494,599.19