Finding the Third Proportional to 113,661 and 173,952

Step by Step Solution

1. Step 1: Write the proportion equation
   113,661 : 173,952 = 173,952 : x
2. Step 2: Convert to fraction form
   113,661/173,952 = 173,952/x
3. Step 3: Cross multiply
   113,661x = 173,952 × 173,952
4. Step 4: Simplify right side
   113,661x = 30,259,298,304
5. Step 5: Solve for x
   x = 30,259,298,304/113,661
6. Step 6: Final answer
   x = 266,224.11