Finding the Third Proportional to 113,198 and 153,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,198 : 153,189.50 = 153,189.50 : x
2. Step 2: Convert to fraction form
   113,198/153,189.50 = 153,189.50/x
3. Step 3: Cross multiply
   113,198x = 153,189.50 × 153,189.50
4. Step 4: Simplify right side
   113,198x = 23,467,022,910.25
5. Step 5: Solve for x
   x = 23,467,022,910.25/113,198
6. Step 6: Final answer
   x = 207,309.52