Finding the Third Proportional to 158,952 and 222,786

Step by Step Solution

1. Step 1: Write the proportion equation
   158,952 : 222,786 = 222,786 : x
2. Step 2: Convert to fraction form
   158,952/222,786 = 222,786/x
3. Step 3: Cross multiply
   158,952x = 222,786 × 222,786
4. Step 4: Simplify right side
   158,952x = 49,633,601,796
5. Step 5: Solve for x
   x = 49,633,601,796/158,952
6. Step 6: Final answer
   x = 312,255.28