Finding the Third Proportional to 755,770,778,400 and 1,665,591,709,630

Step by Step Solution

1. Step 1: Write the proportion equation
   755,770,778,400 : 1,665,591,709,630 = 1,665,591,709,630 : x
2. Step 2: Convert to fraction form
   755,770,778,400/1,665,591,709,630 = 1,665,591,709,630/x
3. Step 3: Cross multiply
   755,770,778,400x = 1,665,591,709,630 × 1,665,591,709,630
4. Step 4: Simplify right side
   755,770,778,400x = 2,774,195,743,188,186,289,930,240
5. Step 5: Solve for x
   x = 2,774,195,743,188,186,289,930,240/755,770,778,400
6. Step 6: Final answer
   x = 3,670,684,051,930.77