Finding the Third Proportional to 493,608,620,916 and 695,109,709,680

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,916 : 695,109,709,680 = 695,109,709,680 : x
2. Step 2: Convert to fraction form
   493,608,620,916/695,109,709,680 = 695,109,709,680/x
3. Step 3: Cross multiply
   493,608,620,916x = 695,109,709,680 × 695,109,709,680
4. Step 4: Simplify right side
   493,608,620,916x = 483,177,508,491,413,885,550,592
5. Step 5: Solve for x
   x = 483,177,508,491,413,885,550,592/493,608,620,916
6. Step 6: Final answer
   x = 978,867,645,372.10