Finding the Third Proportional to 256,404 and 561,066

Step by Step Solution

1. Step 1: Write the proportion equation
   256,404 : 561,066 = 561,066 : x
2. Step 2: Convert to fraction form
   256,404/561,066 = 561,066/x
3. Step 3: Cross multiply
   256,404x = 561,066 × 561,066
4. Step 4: Simplify right side
   256,404x = 314,795,056,356
5. Step 5: Solve for x
   x = 314,795,056,356/256,404
6. Step 6: Final answer
   x = 1,227,730.68