Finding the Third Proportional to 41,913,164,684 and 91,412,171,071

Step by Step Solution

1. Step 1: Write the proportion equation
   41,913,164,684 : 91,412,171,071 = 91,412,171,071 : x
2. Step 2: Convert to fraction form
   41,913,164,684/91,412,171,071 = 91,412,171,071/x
3. Step 3: Cross multiply
   41,913,164,684x = 91,412,171,071 × 91,412,171,071
4. Step 4: Simplify right side
   41,913,164,684x = 8,356,185,019,913,768,796,160
5. Step 5: Solve for x
   x = 8,356,185,019,913,768,796,160/41,913,164,684
6. Step 6: Final answer
   x = 199,368,983,060.92