Finding the Third Proportional to 115,788 and 173,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,788 : 173,962.50 = 173,962.50 : x
2. Step 2: Convert to fraction form
   115,788/173,962.50 = 173,962.50/x
3. Step 3: Cross multiply
   115,788x = 173,962.50 × 173,962.50
4. Step 4: Simplify right side
   115,788x = 30,262,951,406.25
5. Step 5: Solve for x
   x = 30,262,951,406.25/115,788
6. Step 6: Final answer
   x = 261,365.18