Finding the Third Proportional to 122,644 and 262,780

Step by Step Solution

1. Step 1: Write the proportion equation
   122,644 : 262,780 = 262,780 : x
2. Step 2: Convert to fraction form
   122,644/262,780 = 262,780/x
3. Step 3: Cross multiply
   122,644x = 262,780 × 262,780
4. Step 4: Simplify right side
   122,644x = 69,053,328,400
5. Step 5: Solve for x
   x = 69,053,328,400/122,644
6. Step 6: Final answer
   x = 563,038.78