Finding the Third Proportional to 123,205 and 264,815

Step by Step Solution

1. Step 1: Write the proportion equation
   123,205 : 264,815 = 264,815 : x
2. Step 2: Convert to fraction form
   123,205/264,815 = 264,815/x
3. Step 3: Cross multiply
   123,205x = 264,815 × 264,815
4. Step 4: Simplify right side
   123,205x = 70,126,984,225
5. Step 5: Solve for x
   x = 70,126,984,225/123,205
6. Step 6: Final answer
   x = 569,189.43