Finding the Third Proportional to 493,608,620,977 and 695,109,709,773

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,977 : 695,109,709,773 = 695,109,709,773 : x
2. Step 2: Convert to fraction form
   493,608,620,977/695,109,709,773 = 695,109,709,773/x
3. Step 3: Cross multiply
   493,608,620,977x = 695,109,709,773 × 695,109,709,773
4. Step 4: Simplify right side
   493,608,620,977x = 483,177,508,620,704,279,429,120
5. Step 5: Solve for x
   x = 483,177,508,620,704,279,429,120/493,608,620,977
6. Step 6: Final answer
   x = 978,867,645,513.06