Finding the Third Proportional to 114,397 and 173,928

Step by Step Solution

1. Step 1: Write the proportion equation
   114,397 : 173,928 = 173,928 : x
2. Step 2: Convert to fraction form
   114,397/173,928 = 173,928/x
3. Step 3: Cross multiply
   114,397x = 173,928 × 173,928
4. Step 4: Simplify right side
   114,397x = 30,250,949,184
5. Step 5: Solve for x
   x = 30,250,949,184/114,397
6. Step 6: Final answer
   x = 264,438.31