Finding the Third Proportional to 116,796 and 256,200

Step by Step Solution

1. Step 1: Write the proportion equation
   116,796 : 256,200 = 256,200 : x
2. Step 2: Convert to fraction form
   116,796/256,200 = 256,200/x
3. Step 3: Cross multiply
   116,796x = 256,200 × 256,200
4. Step 4: Simplify right side
   116,796x = 65,638,440,000
5. Step 5: Solve for x
   x = 65,638,440,000/116,796
6. Step 6: Final answer
   x = 561,992.19