Finding the Third Proportional to 158,967 and 222,792.75

Step by Step Solution

1. Step 1: Write the proportion equation
   158,967 : 222,792.75 = 222,792.75 : x
2. Step 2: Convert to fraction form
   158,967/222,792.75 = 222,792.75/x
3. Step 3: Cross multiply
   158,967x = 222,792.75 × 222,792.75
4. Step 4: Simplify right side
   158,967x = 49,636,609,452.56
5. Step 5: Solve for x
   x = 49,636,609,452.56/158,967
6. Step 6: Final answer
   x = 312,244.74