Finding the Third Proportional to 123,964 and 196,998

Step by Step Solution

1. Step 1: Write the proportion equation
   123,964 : 196,998 = 196,998 : x
2. Step 2: Convert to fraction form
   123,964/196,998 = 196,998/x
3. Step 3: Cross multiply
   123,964x = 196,998 × 196,998
4. Step 4: Simplify right side
   123,964x = 38,808,212,004
5. Step 5: Solve for x
   x = 38,808,212,004/123,964
6. Step 6: Final answer
   x = 313,060.34