Finding the Third Proportional to 222,682 and 456,296

Step by Step Solution

1. Step 1: Write the proportion equation
   222,682 : 456,296 = 456,296 : x
2. Step 2: Convert to fraction form
   222,682/456,296 = 456,296/x
3. Step 3: Cross multiply
   222,682x = 456,296 × 456,296
4. Step 4: Simplify right side
   222,682x = 208,206,039,616
5. Step 5: Solve for x
   x = 208,206,039,616/222,682
6. Step 6: Final answer
   x = 934,992.68