Finding the Third Proportional to 116,760 and 256,848

Step by Step Solution

1. Step 1: Write the proportion equation
   116,760 : 256,848 = 256,848 : x
2. Step 2: Convert to fraction form
   116,760/256,848 = 256,848/x
3. Step 3: Cross multiply
   116,760x = 256,848 × 256,848
4. Step 4: Simplify right side
   116,760x = 65,970,895,104
5. Step 5: Solve for x
   x = 65,970,895,104/116,760
6. Step 6: Final answer
   x = 565,012.80