Finding the Third Proportional to 123,215 and 264,838

Step by Step Solution

1. Step 1: Write the proportion equation
   123,215 : 264,838 = 264,838 : x
2. Step 2: Convert to fraction form
   123,215/264,838 = 264,838/x
3. Step 3: Cross multiply
   123,215x = 264,838 × 264,838
4. Step 4: Simplify right side
   123,215x = 70,139,166,244
5. Step 5: Solve for x
   x = 70,139,166,244/123,215
6. Step 6: Final answer
   x = 569,242.11