Finding the Third Proportional to 116,736 and 256,158

Step by Step Solution

1. Step 1: Write the proportion equation
   116,736 : 256,158 = 256,158 : x
2. Step 2: Convert to fraction form
   116,736/256,158 = 256,158/x
3. Step 3: Cross multiply
   116,736x = 256,158 × 256,158
4. Step 4: Simplify right side
   116,736x = 65,616,920,964
5. Step 5: Solve for x
   x = 65,616,920,964/116,736
6. Step 6: Final answer
   x = 562,096.71