Finding the Third Proportional to 123,207 and 263,910

Step by Step Solution

1. Step 1: Write the proportion equation
   123,207 : 263,910 = 263,910 : x
2. Step 2: Convert to fraction form
   123,207/263,910 = 263,910/x
3. Step 3: Cross multiply
   123,207x = 263,910 × 263,910
4. Step 4: Simplify right side
   123,207x = 69,648,488,100
5. Step 5: Solve for x
   x = 69,648,488,100/123,207
6. Step 6: Final answer
   x = 565,296.52