Finding the Third Proportional to 222,696 and 456,324

Step by Step Solution

1. Step 1: Write the proportion equation
   222,696 : 456,324 = 456,324 : x
2. Step 2: Convert to fraction form
   222,696/456,324 = 456,324/x
3. Step 3: Cross multiply
   222,696x = 456,324 × 456,324
4. Step 4: Simplify right side
   222,696x = 208,231,592,976
5. Step 5: Solve for x
   x = 208,231,592,976/222,696
6. Step 6: Final answer
   x = 935,048.64