Finding the Third Proportional to 116,788 and 256,904

Step by Step Solution

1. Step 1: Write the proportion equation
   116,788 : 256,904 = 256,904 : x
2. Step 2: Convert to fraction form
   116,788/256,904 = 256,904/x
3. Step 3: Cross multiply
   116,788x = 256,904 × 256,904
4. Step 4: Simplify right side
   116,788x = 65,999,665,216
5. Step 5: Solve for x
   x = 65,999,665,216/116,788
6. Step 6: Final answer
   x = 565,123.69