Finding the Third Proportional to 115,467 and 173,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,467 : 173,200.50 = 173,200.50 : x
2. Step 2: Convert to fraction form
   115,467/173,200.50 = 173,200.50/x
3. Step 3: Cross multiply
   115,467x = 173,200.50 × 173,200.50
4. Step 4: Simplify right side
   115,467x = 29,998,413,200.25
5. Step 5: Solve for x
   x = 29,998,413,200.25/115,467
6. Step 6: Final answer
   x = 259,800.75