Finding the Third Proportional to 123,888 and 196,881

Step by Step Solution

1. Step 1: Write the proportion equation
   123,888 : 196,881 = 196,881 : x
2. Step 2: Convert to fraction form
   123,888/196,881 = 196,881/x
3. Step 3: Cross multiply
   123,888x = 196,881 × 196,881
4. Step 4: Simplify right side
   123,888x = 38,762,128,161
5. Step 5: Solve for x
   x = 38,762,128,161/123,888
6. Step 6: Final answer
   x = 312,880.41