Finding the Third Proportional to 256,412 and 561,082

Step by Step Solution

1. Step 1: Write the proportion equation
   256,412 : 561,082 = 561,082 : x
2. Step 2: Convert to fraction form
   256,412/561,082 = 561,082/x
3. Step 3: Cross multiply
   256,412x = 561,082 × 561,082
4. Step 4: Simplify right side
   256,412x = 314,813,010,724
5. Step 5: Solve for x
   x = 314,813,010,724/256,412
6. Step 6: Final answer
   x = 1,227,762.39