Finding the Third Proportional to 113,196 and 172,253

Step by Step Solution

1. Step 1: Write the proportion equation
   113,196 : 172,253 = 172,253 : x
2. Step 2: Convert to fraction form
   113,196/172,253 = 172,253/x
3. Step 3: Cross multiply
   113,196x = 172,253 × 172,253
4. Step 4: Simplify right side
   113,196x = 29,671,096,009
5. Step 5: Solve for x
   x = 29,671,096,009/113,196
6. Step 6: Final answer
   x = 262,121.42