Finding the Third Proportional to 108,198 and 234,654

Step by Step Solution

1. Step 1: Write the proportion equation
   108,198 : 234,654 = 234,654 : x
2. Step 2: Convert to fraction form
   108,198/234,654 = 234,654/x
3. Step 3: Cross multiply
   108,198x = 234,654 × 234,654
4. Step 4: Simplify right side
   108,198x = 55,062,499,716
5. Step 5: Solve for x
   x = 55,062,499,716/108,198
6. Step 6: Final answer
   x = 508,904.97