Finding the Third Proportional to 102,064 and 224,054

Step by Step Solution

1. Step 1: Write the proportion equation
   102,064 : 224,054 = 224,054 : x
2. Step 2: Convert to fraction form
   102,064/224,054 = 224,054/x
3. Step 3: Cross multiply
   102,064x = 224,054 × 224,054
4. Step 4: Simplify right side
   102,064x = 50,200,194,916
5. Step 5: Solve for x
   x = 50,200,194,916/102,064
6. Step 6: Final answer
   x = 491,850.16