Finding the Third Proportional to 493,608,620,976 and 695,109,709,772

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,976 : 695,109,709,772 = 695,109,709,772 : x
2. Step 2: Convert to fraction form
   493,608,620,976/695,109,709,772 = 695,109,709,772/x
3. Step 3: Cross multiply
   493,608,620,976x = 695,109,709,772 × 695,109,709,772
4. Step 4: Simplify right side
   493,608,620,976x = 483,177,508,619,314,052,202,496
5. Step 5: Solve for x
   x = 483,177,508,619,314,052,202,496/493,608,620,976
6. Step 6: Final answer
   x = 978,867,645,512.23