Finding the Third Proportional to 114,374 and 173,505

Step by Step Solution

1. Step 1: Write the proportion equation
   114,374 : 173,505 = 173,505 : x
2. Step 2: Convert to fraction form
   114,374/173,505 = 173,505/x
3. Step 3: Cross multiply
   114,374x = 173,505 × 173,505
4. Step 4: Simplify right side
   114,374x = 30,103,985,025
5. Step 5: Solve for x
   x = 30,103,985,025/114,374
6. Step 6: Final answer
   x = 263,206.54