Finding the Third Proportional to 1,642,609,907,238 and 2,414,709,431,790

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642,609,907,238 : 2,414,709,431,790 = 2,414,709,431,790 : x
2. Step 2: Convert to fraction form
   1,642,609,907,238/2,414,709,431,790 = 2,414,709,431,790/x
3. Step 3: Cross multiply
   1,642,609,907,238x = 2,414,709,431,790 × 2,414,709,431,790
4. Step 4: Simplify right side
   1,642,609,907,238x = 5,830,821,639,975,584,390,971,392
5. Step 5: Solve for x
   x = 5,830,821,639,975,584,390,971,392/1,642,609,907,238
6. Step 6: Final answer
   x = 3,549,729,984,144.52