Finding the Third Proportional to 274,401,456,625 and 594,389,371,106

Step by Step Solution

1. Step 1: Write the proportion equation
   274,401,456,625 : 594,389,371,106 = 594,389,371,106 : x
2. Step 2: Convert to fraction form
   274,401,456,625/594,389,371,106 = 594,389,371,106/x
3. Step 3: Cross multiply
   274,401,456,625x = 594,389,371,106 × 594,389,371,106
4. Step 4: Simplify right side
   274,401,456,625x = 353,298,724,483,786,216,570,880
5. Step 5: Solve for x
   x = 353,298,724,483,786,216,570,880/274,401,456,625
6. Step 6: Final answer
   x = 1,287,524,960,068.30