Finding the Third Proportional to 493,608,620,972 and 695,109,709,766

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,972 : 695,109,709,766 = 695,109,709,766 : x
2. Step 2: Convert to fraction form
   493,608,620,972/695,109,709,766 = 695,109,709,766/x
3. Step 3: Cross multiply
   493,608,620,972x = 695,109,709,766 × 695,109,709,766
4. Step 4: Simplify right side
   493,608,620,972x = 483,177,508,610,972,755,951,616
5. Step 5: Solve for x
   x = 483,177,508,610,972,755,951,616/493,608,620,972
6. Step 6: Final answer
   x = 978,867,645,503.26