Finding the Third Proportional to 111,382 and 262,841

Step by Step Solution

1. Step 1: Write the proportion equation
   111,382 : 262,841 = 262,841 : x
2. Step 2: Convert to fraction form
   111,382/262,841 = 262,841/x
3. Step 3: Cross multiply
   111,382x = 262,841 × 262,841
4. Step 4: Simplify right side
   111,382x = 69,085,391,281
5. Step 5: Solve for x
   x = 69,085,391,281/111,382
6. Step 6: Final answer
   x = 620,256.34