Finding the Third Proportional to 102,712 and 222,272

Step by Step Solution

1. Step 1: Write the proportion equation
   102,712 : 222,272 = 222,272 : x
2. Step 2: Convert to fraction form
   102,712/222,272 = 222,272/x
3. Step 3: Cross multiply
   102,712x = 222,272 × 222,272
4. Step 4: Simplify right side
   102,712x = 49,404,841,984
5. Step 5: Solve for x
   x = 49,404,841,984/102,712
6. Step 6: Final answer
   x = 481,003.60