Finding the Third Proportional to 123,438 and 264,371.63

Step by Step Solution

1. Step 1: Write the proportion equation
   123,438 : 264,371.63 = 264,371.63 : x
2. Step 2: Convert to fraction form
   123,438/264,371.63 = 264,371.63/x
3. Step 3: Cross multiply
   123,438x = 264,371.63 × 264,371.63
4. Step 4: Simplify right side
   123,438x = 69,892,356,105.14
5. Step 5: Solve for x
   x = 69,892,356,105.14/123,438
6. Step 6: Final answer
   x = 566,214.26