Finding the Third Proportional to 116,739 and 256,074

Step by Step Solution

1. Step 1: Write the proportion equation
   116,739 : 256,074 = 256,074 : x
2. Step 2: Convert to fraction form
   116,739/256,074 = 256,074/x
3. Step 3: Cross multiply
   116,739x = 256,074 × 256,074
4. Step 4: Simplify right side
   116,739x = 65,573,893,476
5. Step 5: Solve for x
   x = 65,573,893,476/116,739
6. Step 6: Final answer
   x = 561,713.68