Finding the Third Proportional to 102,776 and 224,180

Step by Step Solution

1. Step 1: Write the proportion equation
   102,776 : 224,180 = 224,180 : x
2. Step 2: Convert to fraction form
   102,776/224,180 = 224,180/x
3. Step 3: Cross multiply
   102,776x = 224,180 × 224,180
4. Step 4: Simplify right side
   102,776x = 50,256,672,400
5. Step 5: Solve for x
   x = 50,256,672,400/102,776
6. Step 6: Final answer
   x = 488,992.30