Finding the Third Proportional to 645,988,137 and 1,417,040,969

Step by Step Solution

1. Step 1: Write the proportion equation
   645,988,137 : 1,417,040,969 = 1,417,040,969 : x
2. Step 2: Convert to fraction form
   645,988,137/1,417,040,969 = 1,417,040,969/x
3. Step 3: Cross multiply
   645,988,137x = 1,417,040,969 × 1,417,040,969
4. Step 4: Simplify right side
   645,988,137x = 2,008,005,107,824,459,008
5. Step 5: Solve for x
   x = 2,008,005,107,824,459,008/645,988,137
6. Step 6: Final answer
   x = 3,108,424,122.38