Finding the Third Proportional to 1,642,609,907,119 and 2,414,709,431,608

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642,609,907,119 : 2,414,709,431,608 = 2,414,709,431,608 : x
2. Step 2: Convert to fraction form
   1,642,609,907,119/2,414,709,431,608 = 2,414,709,431,608/x
3. Step 3: Cross multiply
   1,642,609,907,119x = 2,414,709,431,608 × 2,414,709,431,608
4. Step 4: Simplify right side
   1,642,609,907,119x = 5,830,821,639,096,630,071,263,232
5. Step 5: Solve for x
   x = 5,830,821,639,096,630,071,263,232/1,642,609,907,119
6. Step 6: Final answer
   x = 3,549,729,983,866.59