Finding the Third Proportional to 117,216 and 256,788

Step by Step Solution

1. Step 1: Write the proportion equation
   117,216 : 256,788 = 256,788 : x
2. Step 2: Convert to fraction form
   117,216/256,788 = 256,788/x
3. Step 3: Cross multiply
   117,216x = 256,788 × 256,788
4. Step 4: Simplify right side
   117,216x = 65,940,076,944
5. Step 5: Solve for x
   x = 65,940,076,944/117,216
6. Step 6: Final answer
   x = 562,551.84