Finding the Third Proportional to 493,608,620,980 and 695,109,709,776

Step by Step Solution

1. Step 1: Write the proportion equation
   493,608,620,980 : 695,109,709,776 = 695,109,709,776 : x
2. Step 2: Convert to fraction form
   493,608,620,980/695,109,709,776 = 695,109,709,776/x
3. Step 3: Cross multiply
   493,608,620,980x = 695,109,709,776 × 695,109,709,776
4. Step 4: Simplify right side
   493,608,620,980x = 483,177,508,624,874,961,108,992
5. Step 5: Solve for x
   x = 483,177,508,624,874,961,108,992/493,608,620,980
6. Step 6: Final answer
   x = 978,867,645,515.56