Finding the Third Proportional to 113,642 and 173,924

Step by Step Solution

1. Step 1: Write the proportion equation
   113,642 : 173,924 = 173,924 : x
2. Step 2: Convert to fraction form
   113,642/173,924 = 173,924/x
3. Step 3: Cross multiply
   113,642x = 173,924 × 173,924
4. Step 4: Simplify right side
   113,642x = 30,249,557,776
5. Step 5: Solve for x
   x = 30,249,557,776/113,642
6. Step 6: Final answer
   x = 266,182.91