Finding the Third Proportional to 102,904 and 224,262

Step by Step Solution

1. Step 1: Write the proportion equation
   102,904 : 224,262 = 224,262 : x
2. Step 2: Convert to fraction form
   102,904/224,262 = 224,262/x
3. Step 3: Cross multiply
   102,904x = 224,262 × 224,262
4. Step 4: Simplify right side
   102,904x = 50,293,444,644
5. Step 5: Solve for x
   x = 50,293,444,644/102,904
6. Step 6: Final answer
   x = 488,741.40