Finding the Third Proportional to 123,656 and 264,808

Step by Step Solution

1. Step 1: Write the proportion equation
   123,656 : 264,808 = 264,808 : x
2. Step 2: Convert to fraction form
   123,656/264,808 = 264,808/x
3. Step 3: Cross multiply
   123,656x = 264,808 × 264,808
4. Step 4: Simplify right side
   123,656x = 70,123,276,864
5. Step 5: Solve for x
   x = 70,123,276,864/123,656
6. Step 6: Final answer
   x = 567,083.50