Finding the Third Proportional to 122,182,898,302 and 263,039,146,910

Step by Step Solution

1. Step 1: Write the proportion equation
   122,182,898,302 : 263,039,146,910 = 263,039,146,910 : x
2. Step 2: Convert to fraction form
   122,182,898,302/263,039,146,910 = 263,039,146,910/x
3. Step 3: Cross multiply
   122,182,898,302x = 263,039,146,910 × 263,039,146,910
4. Step 4: Simplify right side
   122,182,898,302x = 69,189,592,807,140,562,567,168
5. Step 5: Solve for x
   x = 69,189,592,807,140,562,567,168/122,182,898,302
6. Step 6: Final answer
   x = 566,278,863,643.62