Finding the Third Proportional to 158,245,912,998 and 213,510,891,911

Step by Step Solution

1. Step 1: Write the proportion equation
   158,245,912,998 : 213,510,891,911 = 213,510,891,911 : x
2. Step 2: Convert to fraction form
   158,245,912,998/213,510,891,911 = 213,510,891,911/x
3. Step 3: Cross multiply
   158,245,912,998x = 213,510,891,911 × 213,510,891,911
4. Step 4: Simplify right side
   158,245,912,998x = 45,586,900,964,630,723,559,424
5. Step 5: Solve for x
   x = 45,586,900,964,630,723,559,424/158,245,912,998
6. Step 6: Final answer
   x = 288,076,324,380.06