Finding the Third Proportional to 111,792 and 164,124

Step by Step Solution

1. Step 1: Write the proportion equation
   111,792 : 164,124 = 164,124 : x
2. Step 2: Convert to fraction form
   111,792/164,124 = 164,124/x
3. Step 3: Cross multiply
   111,792x = 164,124 × 164,124
4. Step 4: Simplify right side
   111,792x = 26,936,687,376
5. Step 5: Solve for x
   x = 26,936,687,376/111,792
6. Step 6: Final answer
   x = 240,953.62