Finding the Third Proportional to 117,963 and 256,662

Step by Step Solution

1. Step 1: Write the proportion equation
   117,963 : 256,662 = 256,662 : x
2. Step 2: Convert to fraction form
   117,963/256,662 = 256,662/x
3. Step 3: Cross multiply
   117,963x = 256,662 × 256,662
4. Step 4: Simplify right side
   117,963x = 65,875,382,244
5. Step 5: Solve for x
   x = 65,875,382,244/117,963
6. Step 6: Final answer
   x = 558,441.06