Finding the Third Proportional to 59,510 and 123,394

Step by Step Solution

1. Step 1: Write the proportion equation
   59,510 : 123,394 = 123,394 : x
2. Step 2: Convert to fraction form
   59,510/123,394 = 123,394/x
3. Step 3: Cross multiply
   59,510x = 123,394 × 123,394
4. Step 4: Simplify right side
   59,510x = 15,226,079,236
5. Step 5: Solve for x
   x = 15,226,079,236/59,510
6. Step 6: Final answer
   x = 255,857.49