Finding the Third Proportional to 106,638,521,994 and 229,325,774,856

Step by Step Solution

1. Step 1: Write the proportion equation
   106,638,521,994 : 229,325,774,856 = 229,325,774,856 : x
2. Step 2: Convert to fraction form
   106,638,521,994/229,325,774,856 = 229,325,774,856/x
3. Step 3: Cross multiply
   106,638,521,994x = 229,325,774,856 × 229,325,774,856
4. Step 4: Simplify right side
   106,638,521,994x = 52,590,311,013,304,800,116,736
5. Step 5: Solve for x
   x = 52,590,311,013,304,800,116,736/106,638,521,994
6. Step 6: Final answer
   x = 493,164,290,257.73