Finding the Third Proportional to 111,264 and 170,784

Step by Step Solution

1. Step 1: Write the proportion equation
   111,264 : 170,784 = 170,784 : x
2. Step 2: Convert to fraction form
   111,264/170,784 = 170,784/x
3. Step 3: Cross multiply
   111,264x = 170,784 × 170,784
4. Step 4: Simplify right side
   111,264x = 29,167,174,656
5. Step 5: Solve for x
   x = 29,167,174,656/111,264
6. Step 6: Final answer
   x = 262,143.86