Finding the Third Proportional to 113,266.50 and 158,774.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,266.50 : 158,774.25 = 158,774.25 : x
2. Step 2: Convert to fraction form
   113,266.50/158,774.25 = 158,774.25/x
3. Step 3: Cross multiply
   113,266.50x = 158,774.25 × 158,774.25
4. Step 4: Simplify right side
   113,266.50x = 25,209,262,463.06
5. Step 5: Solve for x
   x = 25,209,262,463.06/113,266.50
6. Step 6: Final answer
   x = 222,565.92