Finding the Third Proportional to 113,649 and 173,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,649 : 173,932.50 = 173,932.50 : x
2. Step 2: Convert to fraction form
   113,649/173,932.50 = 173,932.50/x
3. Step 3: Cross multiply
   113,649x = 173,932.50 × 173,932.50
4. Step 4: Simplify right side
   113,649x = 30,252,514,556.25
5. Step 5: Solve for x
   x = 30,252,514,556.25/113,649
6. Step 6: Final answer
   x = 266,192.53