Finding the Third Proportional to 261,926 and 562,084

Step by Step Solution

1. Step 1: Write the proportion equation
   261,926 : 562,084 = 562,084 : x
2. Step 2: Convert to fraction form
   261,926/562,084 = 562,084/x
3. Step 3: Cross multiply
   261,926x = 562,084 × 562,084
4. Step 4: Simplify right side
   261,926x = 315,938,423,056
5. Step 5: Solve for x
   x = 315,938,423,056/261,926
6. Step 6: Final answer
   x = 1,206,212.53