Finding the Third Proportional to 256,040 and 561,061

Step by Step Solution

1. Step 1: Write the proportion equation
   256,040 : 561,061 = 561,061 : x
2. Step 2: Convert to fraction form
   256,040/561,061 = 561,061/x
3. Step 3: Cross multiply
   256,040x = 561,061 × 561,061
4. Step 4: Simplify right side
   256,040x = 314,789,445,721
5. Step 5: Solve for x
   x = 314,789,445,721/256,040
6. Step 6: Final answer
   x = 1,229,454.17