Finding the Third Proportional to 113,636 and 173,478

Step by Step Solution

1. Step 1: Write the proportion equation
   113,636 : 173,478 = 173,478 : x
2. Step 2: Convert to fraction form
   113,636/173,478 = 173,478/x
3. Step 3: Cross multiply
   113,636x = 173,478 × 173,478
4. Step 4: Simplify right side
   113,636x = 30,094,616,484
5. Step 5: Solve for x
   x = 30,094,616,484/113,636
6. Step 6: Final answer
   x = 264,833.47