Finding the Third Proportional to 262,142 and 562,516

Step by Step Solution

1. Step 1: Write the proportion equation
   262,142 : 562,516 = 562,516 : x
2. Step 2: Convert to fraction form
   262,142/562,516 = 562,516/x
3. Step 3: Cross multiply
   262,142x = 562,516 × 562,516
4. Step 4: Simplify right side
   262,142x = 316,424,250,256
5. Step 5: Solve for x
   x = 316,424,250,256/262,142
6. Step 6: Final answer
   x = 1,207,071.93