Finding the Third Proportional to 117,980 and 256,696

Step by Step Solution

1. Step 1: Write the proportion equation
   117,980 : 256,696 = 256,696 : x
2. Step 2: Convert to fraction form
   117,980/256,696 = 256,696/x
3. Step 3: Cross multiply
   117,980x = 256,696 × 256,696
4. Step 4: Simplify right side
   117,980x = 65,892,836,416
5. Step 5: Solve for x
   x = 65,892,836,416/117,980
6. Step 6: Final answer
   x = 558,508.53