Finding the Third Proportional to 123,346 and 269,518

Step by Step Solution

1. Step 1: Write the proportion equation
   123,346 : 269,518 = 269,518 : x
2. Step 2: Convert to fraction form
   123,346/269,518 = 269,518/x
3. Step 3: Cross multiply
   123,346x = 269,518 × 269,518
4. Step 4: Simplify right side
   123,346x = 72,639,952,324
5. Step 5: Solve for x
   x = 72,639,952,324/123,346
6. Step 6: Final answer
   x = 588,912.10