Finding the Third Proportional to 123,213 and 264,834

Step by Step Solution

1. Step 1: Write the proportion equation
   123,213 : 264,834 = 264,834 : x
2. Step 2: Convert to fraction form
   123,213/264,834 = 264,834/x
3. Step 3: Cross multiply
   123,213x = 264,834 × 264,834
4. Step 4: Simplify right side
   123,213x = 70,137,047,556
5. Step 5: Solve for x
   x = 70,137,047,556/123,213
6. Step 6: Final answer
   x = 569,234.15