Finding the Third Proportional to 91,590 and 196,998

Step by Step Solution

1. Step 1: Write the proportion equation
   91,590 : 196,998 = 196,998 : x
2. Step 2: Convert to fraction form
   91,590/196,998 = 196,998/x
3. Step 3: Cross multiply
   91,590x = 196,998 × 196,998
4. Step 4: Simplify right side
   91,590x = 38,808,212,004
5. Step 5: Solve for x
   x = 38,808,212,004/91,590
6. Step 6: Final answer
   x = 423,716.69