Finding the Third Proportional to 256,414 and 561,086

Step by Step Solution

1. Step 1: Write the proportion equation
   256,414 : 561,086 = 561,086 : x
2. Step 2: Convert to fraction form
   256,414/561,086 = 561,086/x
3. Step 3: Cross multiply
   256,414x = 561,086 × 561,086
4. Step 4: Simplify right side
   256,414x = 314,817,499,396
5. Step 5: Solve for x
   x = 314,817,499,396/256,414
6. Step 6: Final answer
   x = 1,227,770.32