Finding the Third Proportional to 102,204,186,323 and 222,405,263,680

Step by Step Solution

1. Step 1: Write the proportion equation
   102,204,186,323 : 222,405,263,680 = 222,405,263,680 : x
2. Step 2: Convert to fraction form
   102,204,186,323/222,405,263,680 = 222,405,263,680/x
3. Step 3: Cross multiply
   102,204,186,323x = 222,405,263,680 × 222,405,263,680
4. Step 4: Simplify right side
   102,204,186,323x = 49,464,101,312,570,327,040,000
5. Step 5: Solve for x
   x = 49,464,101,312,570,327,040,000/102,204,186,323
6. Step 6: Final answer
   x = 483,973,338,980.92