Finding the Third Proportional to 113,416 and 264,910

Step by Step Solution

1. Step 1: Write the proportion equation
   113,416 : 264,910 = 264,910 : x
2. Step 2: Convert to fraction form
   113,416/264,910 = 264,910/x
3. Step 3: Cross multiply
   113,416x = 264,910 × 264,910
4. Step 4: Simplify right side
   113,416x = 70,177,308,100
5. Step 5: Solve for x
   x = 70,177,308,100/113,416
6. Step 6: Final answer
   x = 618,760.21