Finding the Third Proportional to 262,116 and 562,464

Step by Step Solution

1. Step 1: Write the proportion equation
   262,116 : 562,464 = 562,464 : x
2. Step 2: Convert to fraction form
   262,116/562,464 = 562,464/x
3. Step 3: Cross multiply
   262,116x = 562,464 × 562,464
4. Step 4: Simplify right side
   262,116x = 316,365,751,296
5. Step 5: Solve for x
   x = 316,365,751,296/262,116
6. Step 6: Final answer
   x = 1,206,968.48