Finding the Third Proportional to 123,166 and 263,180

Step by Step Solution

1. Step 1: Write the proportion equation
   123,166 : 263,180 = 263,180 : x
2. Step 2: Convert to fraction form
   123,166/263,180 = 263,180/x
3. Step 3: Cross multiply
   123,166x = 263,180 × 263,180
4. Step 4: Simplify right side
   123,166x = 69,263,712,400
5. Step 5: Solve for x
   x = 69,263,712,400/123,166
6. Step 6: Final answer
   x = 562,360.65