Finding the Third Proportional to 107,091 and 222,606

Step by Step Solution

1. Step 1: Write the proportion equation
   107,091 : 222,606 = 222,606 : x
2. Step 2: Convert to fraction form
   107,091/222,606 = 222,606/x
3. Step 3: Cross multiply
   107,091x = 222,606 × 222,606
4. Step 4: Simplify right side
   107,091x = 49,553,431,236
5. Step 5: Solve for x
   x = 49,553,431,236/107,091
6. Step 6: Final answer
   x = 462,722.65