Finding the Third Proportional to 59,429 and 123,790

Step by Step Solution

1. Step 1: Write the proportion equation
   59,429 : 123,790 = 123,790 : x
2. Step 2: Convert to fraction form
   59,429/123,790 = 123,790/x
3. Step 3: Cross multiply
   59,429x = 123,790 × 123,790
4. Step 4: Simplify right side
   59,429x = 15,323,964,100
5. Step 5: Solve for x
   x = 15,323,964,100/59,429
6. Step 6: Final answer
   x = 257,853.31