Finding the Third Proportional to 113,138.50 and 223,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,138.50 : 223,422.50 = 223,422.50 : x
2. Step 2: Convert to fraction form
   113,138.50/223,422.50 = 223,422.50/x
3. Step 3: Cross multiply
   113,138.50x = 223,422.50 × 223,422.50
4. Step 4: Simplify right side
   113,138.50x = 49,917,613,506.25
5. Step 5: Solve for x
   x = 49,917,613,506.25/113,138.50
6. Step 6: Final answer
   x = 441,208.02