Finding the Third Proportional to 114,265 and 173,829

Step by Step Solution

1. Step 1: Write the proportion equation
   114,265 : 173,829 = 173,829 : x
2. Step 2: Convert to fraction form
   114,265/173,829 = 173,829/x
3. Step 3: Cross multiply
   114,265x = 173,829 × 173,829
4. Step 4: Simplify right side
   114,265x = 30,216,521,241
5. Step 5: Solve for x
   x = 30,216,521,241/114,265
6. Step 6: Final answer
   x = 264,442.49