Finding the Third Proportional to 222,642 and 456,192

Step by Step Solution

1. Step 1: Write the proportion equation
   222,642 : 456,192 = 456,192 : x
2. Step 2: Convert to fraction form
   222,642/456,192 = 456,192/x
3. Step 3: Cross multiply
   222,642x = 456,192 × 456,192
4. Step 4: Simplify right side
   222,642x = 208,111,140,864
5. Step 5: Solve for x
   x = 208,111,140,864/222,642
6. Step 6: Final answer
   x = 934,734.42