Finding the Third Proportional to 262,336 and 561,140

Step by Step Solution

1. Step 1: Write the proportion equation
   262,336 : 561,140 = 561,140 : x
2. Step 2: Convert to fraction form
   262,336/561,140 = 561,140/x
3. Step 3: Cross multiply
   262,336x = 561,140 × 561,140
4. Step 4: Simplify right side
   262,336x = 314,878,099,600
5. Step 5: Solve for x
   x = 314,878,099,600/262,336
6. Step 6: Final answer
   x = 1,200,285.51