Finding the Third Proportional to 493,608,620,914 and 695,109,709,677

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,914 : 695,109,709,677 = 695,109,709,677 : x
2. Step 2: Convert to fraction form
   493,608,620,914/695,109,709,677 = 695,109,709,677/x
3. Step 3: Cross multiply
   493,608,620,914x = 695,109,709,677 × 695,109,709,677
4. Step 4: Simplify right side
   493,608,620,914x = 483,177,508,487,243,203,870,720
5. Step 5: Solve for x
   x = 483,177,508,487,243,203,870,720/493,608,620,914
6. Step 6: Final answer
   x = 978,867,645,367.62