Finding the Third Proportional to 113,897 and 173,655

Step by Step Solution

1. Step 1: Write the proportion equation
   113,897 : 173,655 = 173,655 : x
2. Step 2: Convert to fraction form
   113,897/173,655 = 173,655/x
3. Step 3: Cross multiply
   113,897x = 173,655 × 173,655
4. Step 4: Simplify right side
   113,897x = 30,156,059,025
5. Step 5: Solve for x
   x = 30,156,059,025/113,897
6. Step 6: Final answer
   x = 264,766.05