Finding the Third Proportional to 222,645 and 456,198

Step by Step Solution

1. Step 1: Write the proportion equation
   222,645 : 456,198 = 456,198 : x
2. Step 2: Convert to fraction form
   222,645/456,198 = 456,198/x
3. Step 3: Cross multiply
   222,645x = 456,198 × 456,198
4. Step 4: Simplify right side
   222,645x = 208,116,615,204
5. Step 5: Solve for x
   x = 208,116,615,204/222,645
6. Step 6: Final answer
   x = 934,746.41