Finding the Third Proportional to 121,133,667,183 and 265,064,027,499

Step by Step Solution

1. Step 1: Write the proportion equation
   121,133,667,183 : 265,064,027,499 = 265,064,027,499 : x
2. Step 2: Convert to fraction form
   121,133,667,183/265,064,027,499 = 265,064,027,499/x
3. Step 3: Cross multiply
   121,133,667,183x = 265,064,027,499 × 265,064,027,499
4. Step 4: Simplify right side
   121,133,667,183x = 70,258,938,673,990,631,161,856
5. Step 5: Solve for x
   x = 70,258,938,673,990,631,161,856/121,133,667,183
6. Step 6: Final answer
   x = 580,011,654,132.86