Finding the Third Proportional to 493,608,620,920 and 695,109,709,686

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,920 : 695,109,709,686 = 695,109,709,686 : x
2. Step 2: Convert to fraction form
   493,608,620,920/695,109,709,686 = 695,109,709,686/x
3. Step 3: Cross multiply
   493,608,620,920x = 695,109,709,686 × 695,109,709,686
4. Step 4: Simplify right side
   493,608,620,920x = 483,177,508,499,755,181,801,472
5. Step 5: Solve for x
   x = 483,177,508,499,755,181,801,472/493,608,620,920
6. Step 6: Final answer
   x = 978,867,645,381.07