Finding the Third Proportional to 113,897 and 173,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,897 : 173,653.50 = 173,653.50 : x
2. Step 2: Convert to fraction form
   113,897/173,653.50 = 173,653.50/x
3. Step 3: Cross multiply
   113,897x = 173,653.50 × 173,653.50
4. Step 4: Simplify right side
   113,897x = 30,155,538,062.25
5. Step 5: Solve for x
   x = 30,155,538,062.25/113,897
6. Step 6: Final answer
   x = 264,761.48