Finding the Third Proportional to 585,017,616,054 and 823,833,718,047

Step by Step Solution

1. Step 1: Write the proportion equation
   585,017,616,054 : 823,833,718,047 = 823,833,718,047 : x
2. Step 2: Convert to fraction form
   585,017,616,054/823,833,718,047 = 823,833,718,047/x
3. Step 3: Cross multiply
   585,017,616,054x = 823,833,718,047 × 823,833,718,047
4. Step 4: Simplify right side
   585,017,616,054x = 678,701,994,991,143,910,113,280
5. Step 5: Solve for x
   x = 678,701,994,991,143,910,113,280/585,017,616,054
6. Step 6: Final answer
   x = 1,160,139,415,235.14