Finding the Third Proportional to 116,694 and 255,978

Step by Step Solution

1. Step 1: Write the proportion equation
   116,694 : 255,978 = 255,978 : x
2. Step 2: Convert to fraction form
   116,694/255,978 = 255,978/x
3. Step 3: Cross multiply
   116,694x = 255,978 × 255,978
4. Step 4: Simplify right side
   116,694x = 65,524,736,484
5. Step 5: Solve for x
   x = 65,524,736,484/116,694
6. Step 6: Final answer
   x = 561,509.04