Finding the Third Proportional to 122,600 and 262,696

Step by Step Solution

1. Step 1: Write the proportion equation
   122,600 : 262,696 = 262,696 : x
2. Step 2: Convert to fraction form
   122,600/262,696 = 262,696/x
3. Step 3: Cross multiply
   122,600x = 262,696 × 262,696
4. Step 4: Simplify right side
   122,600x = 69,009,188,416
5. Step 5: Solve for x
   x = 69,009,188,416/122,600
6. Step 6: Final answer
   x = 562,880.82