Finding the Third Proportional to 1,099,646,084,699 and 2,367,352,322,173

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099,646,084,699 : 2,367,352,322,173 = 2,367,352,322,173 : x
2. Step 2: Convert to fraction form
   1,099,646,084,699/2,367,352,322,173 = 2,367,352,322,173/x
3. Step 3: Cross multiply
   1,099,646,084,699x = 2,367,352,322,173 × 2,367,352,322,173
4. Step 4: Simplify right side
   1,099,646,084,699x = 5,604,357,017,297,895,607,500,800
5. Step 5: Solve for x
   x = 5,604,357,017,297,895,607,500,800/1,099,646,084,699
6. Step 6: Final answer
   x = 5,096,509,772,807.44