Finding the Third Proportional to 365,384,883,810 and 760,839,397,962

Step by Step Solution

1. Step 1: Write the proportion equation
   365,384,883,810 : 760,839,397,962 = 760,839,397,962 : x
2. Step 2: Convert to fraction form
   365,384,883,810/760,839,397,962 = 760,839,397,962/x
3. Step 3: Cross multiply
   365,384,883,810x = 760,839,397,962 × 760,839,397,962
4. Step 4: Simplify right side
   365,384,883,810x = 578,876,589,491,178,631,593,984
5. Step 5: Solve for x
   x = 578,876,589,491,178,631,593,984/365,384,883,810
6. Step 6: Final answer
   x = 1,584,292,659,989.17