Finding the Third Proportional to 228,627 and 308,406

Step by Step Solution

1. Step 1: Write the proportion equation
   228,627 : 308,406 = 308,406 : x
2. Step 2: Convert to fraction form
   228,627/308,406 = 308,406/x
3. Step 3: Cross multiply
   228,627x = 308,406 × 308,406
4. Step 4: Simplify right side
   228,627x = 95,114,260,836
5. Step 5: Solve for x
   x = 95,114,260,836/228,627
6. Step 6: Final answer
   x = 416,023.75