Finding the Third Proportional to 106,633,268,463 and 222,092,509,848

Step by Step Solution

1. Step 1: Write the proportion equation
   106,633,268,463 : 222,092,509,848 = 222,092,509,848 : x
2. Step 2: Convert to fraction form
   106,633,268,463/222,092,509,848 = 222,092,509,848/x
3. Step 3: Cross multiply
   106,633,268,463x = 222,092,509,848 × 222,092,509,848
4. Step 4: Simplify right side
   106,633,268,463x = 49,325,082,930,583,976,280,064
5. Step 5: Solve for x
   x = 49,325,082,930,583,976,280,064/106,633,268,463
6. Step 6: Final answer
   x = 462,567,486,128.39