Finding the Third Proportional to 122,182,898,380 and 263,039,147,055

Step by Step Solution

1. Step 1: Write the proportion equation
   122,182,898,380 : 263,039,147,055 = 263,039,147,055 : x
2. Step 2: Convert to fraction form
   122,182,898,380/263,039,147,055 = 263,039,147,055/x
3. Step 3: Cross multiply
   122,182,898,380x = 263,039,147,055 × 263,039,147,055
4. Step 4: Simplify right side
   122,182,898,380x = 69,189,592,883,421,916,430,336
5. Step 5: Solve for x
   x = 69,189,592,883,421,916,430,336/122,182,898,380
6. Step 6: Final answer
   x = 566,278,863,906.44