Finding the Third Proportional to 159,091.50 and 222,995.25

Step by Step Solution

1. Step 1: Write the proportion equation
   159,091.50 : 222,995.25 = 222,995.25 : x
2. Step 2: Convert to fraction form
   159,091.50/222,995.25 = 222,995.25/x
3. Step 3: Cross multiply
   159,091.50x = 222,995.25 × 222,995.25
4. Step 4: Simplify right side
   159,091.50x = 49,726,881,522.56
5. Step 5: Solve for x
   x = 49,726,881,522.56/159,091.50
6. Step 6: Final answer
   x = 312,567.81