Finding the Third Proportional to 109,747 and 160,428

Step by Step Solution

1. Step 1: Write the proportion equation
   109,747 : 160,428 = 160,428 : x
2. Step 2: Convert to fraction form
   109,747/160,428 = 160,428/x
3. Step 3: Cross multiply
   109,747x = 160,428 × 160,428
4. Step 4: Simplify right side
   109,747x = 25,737,143,184
5. Step 5: Solve for x
   x = 25,737,143,184/109,747
6. Step 6: Final answer
   x = 234,513.41