Finding the Third Proportional to 116,718 and 256,132

Step by Step Solution

1. Step 1: Write the proportion equation
   116,718 : 256,132 = 256,132 : x
2. Step 2: Convert to fraction form
   116,718/256,132 = 256,132/x
3. Step 3: Cross multiply
   116,718x = 256,132 × 256,132
4. Step 4: Simplify right side
   116,718x = 65,603,601,424
5. Step 5: Solve for x
   x = 65,603,601,424/116,718
6. Step 6: Final answer
   x = 562,069.27