Finding the Third Proportional to 116,745 and 256,116

Step by Step Solution

1. Step 1: Write the proportion equation
   116,745 : 256,116 = 256,116 : x
2. Step 2: Convert to fraction form
   116,745/256,116 = 256,116/x
3. Step 3: Cross multiply
   116,745x = 256,116 × 256,116
4. Step 4: Simplify right side
   116,745x = 65,595,405,456
5. Step 5: Solve for x
   x = 65,595,405,456/116,745
6. Step 6: Final answer
   x = 561,869.08