Finding the Third Proportional to 123,886 and 196,878

Step by Step Solution

1. Step 1: Write the proportion equation
   123,886 : 196,878 = 196,878 : x
2. Step 2: Convert to fraction form
   123,886/196,878 = 196,878/x
3. Step 3: Cross multiply
   123,886x = 196,878 × 196,878
4. Step 4: Simplify right side
   123,886x = 38,760,946,884
5. Step 5: Solve for x
   x = 38,760,946,884/123,886
6. Step 6: Final answer
   x = 312,875.93