Finding the Third Proportional to 116,665 and 255,928

Step by Step Solution

1. Step 1: Write the proportion equation
   116,665 : 255,928 = 255,928 : x
2. Step 2: Convert to fraction form
   116,665/255,928 = 255,928/x
3. Step 3: Cross multiply
   116,665x = 255,928 × 255,928
4. Step 4: Simplify right side
   116,665x = 65,499,141,184
5. Step 5: Solve for x
   x = 65,499,141,184/116,665
6. Step 6: Final answer
   x = 561,429.23