Finding the Third Proportional to 101,616 and 222,606

Step by Step Solution

1. Step 1: Write the proportion equation
   101,616 : 222,606 = 222,606 : x
2. Step 2: Convert to fraction form
   101,616/222,606 = 222,606/x
3. Step 3: Cross multiply
   101,616x = 222,606 × 222,606
4. Step 4: Simplify right side
   101,616x = 49,553,431,236
5. Step 5: Solve for x
   x = 49,553,431,236/101,616
6. Step 6: Final answer
   x = 487,653.83