Finding the Third Proportional to 91,592 and 196,994

Step by Step Solution

1. Step 1: Write the proportion equation
   91,592 : 196,994 = 196,994 : x
2. Step 2: Convert to fraction form
   91,592/196,994 = 196,994/x
3. Step 3: Cross multiply
   91,592x = 196,994 × 196,994
4. Step 4: Simplify right side
   91,592x = 38,806,636,036
5. Step 5: Solve for x
   x = 38,806,636,036/91,592
6. Step 6: Final answer
   x = 423,690.24