Finding the Third Proportional to 865,243,078,646 and 1,271,945,708,829

Step by Step Solution

1. Step 1: Write the proportion equation
   865,243,078,646 : 1,271,945,708,829 = 1,271,945,708,829 : x
2. Step 2: Convert to fraction form
   865,243,078,646/1,271,945,708,829 = 1,271,945,708,829/x
3. Step 3: Cross multiply
   865,243,078,646x = 1,271,945,708,829 × 1,271,945,708,829
4. Step 4: Simplify right side
   865,243,078,646x = 1,617,845,886,208,507,295,825,920
5. Step 5: Solve for x
   x = 1,617,845,886,208,507,295,825,920/865,243,078,646
6. Step 6: Final answer
   x = 1,869,816,617,013.84