Finding the Third Proportional to 116,786 and 256,900

Step by Step Solution

1. Step 1: Write the proportion equation
   116,786 : 256,900 = 256,900 : x
2. Step 2: Convert to fraction form
   116,786/256,900 = 256,900/x
3. Step 3: Cross multiply
   116,786x = 256,900 × 256,900
4. Step 4: Simplify right side
   116,786x = 65,997,610,000
5. Step 5: Solve for x
   x = 65,997,610,000/116,786
6. Step 6: Final answer
   x = 565,115.77