Finding the Third Proportional to 222,796 and 345,150

Step by Step Solution

1. Step 1: Write the proportion equation
   222,796 : 345,150 = 345,150 : x
2. Step 2: Convert to fraction form
   222,796/345,150 = 345,150/x
3. Step 3: Cross multiply
   222,796x = 345,150 × 345,150
4. Step 4: Simplify right side
   222,796x = 119,128,522,500
5. Step 5: Solve for x
   x = 119,128,522,500/222,796
6. Step 6: Final answer
   x = 534,697.76