Finding the Third Proportional to 115,788 and 173,196

Step by Step Solution

1. Step 1: Write the proportion equation
   115,788 : 173,196 = 173,196 : x
2. Step 2: Convert to fraction form
   115,788/173,196 = 173,196/x
3. Step 3: Cross multiply
   115,788x = 173,196 × 173,196
4. Step 4: Simplify right side
   115,788x = 29,996,854,416
5. Step 5: Solve for x
   x = 29,996,854,416/115,788
6. Step 6: Final answer
   x = 259,067.04