Finding the Third Proportional to 123,266 and 196,563

Step by Step Solution

1. Step 1: Write the proportion equation
   123,266 : 196,563 = 196,563 : x
2. Step 2: Convert to fraction form
   123,266/196,563 = 196,563/x
3. Step 3: Cross multiply
   123,266x = 196,563 × 196,563
4. Step 4: Simplify right side
   123,266x = 38,637,012,969
5. Step 5: Solve for x
   x = 38,637,012,969/123,266
6. Step 6: Final answer
   x = 313,444.20