Finding the Third Proportional to 113,267.50 and 158,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,267.50 : 158,775.50 = 158,775.50 : x
2. Step 2: Convert to fraction form
   113,267.50/158,775.50 = 158,775.50/x
3. Step 3: Cross multiply
   113,267.50x = 158,775.50 × 158,775.50
4. Step 4: Simplify right side
   113,267.50x = 25,209,659,400.25
5. Step 5: Solve for x
   x = 25,209,659,400.25/113,267.50
6. Step 6: Final answer
   x = 222,567.46