Finding the Third Proportional to 116,662 and 255,922

Step by Step Solution

1. Step 1: Write the proportion equation
   116,662 : 255,922 = 255,922 : x
2. Step 2: Convert to fraction form
   116,662/255,922 = 255,922/x
3. Step 3: Cross multiply
   116,662x = 255,922 × 255,922
4. Step 4: Simplify right side
   116,662x = 65,496,070,084
5. Step 5: Solve for x
   x = 65,496,070,084/116,662
6. Step 6: Final answer
   x = 561,417.34