Finding the Third Proportional to 58,396 and 128,456

Step by Step Solution

1. Step 1: Write the proportion equation
   58,396 : 128,456 = 128,456 : x
2. Step 2: Convert to fraction form
   58,396/128,456 = 128,456/x
3. Step 3: Cross multiply
   58,396x = 128,456 × 128,456
4. Step 4: Simplify right side
   58,396x = 16,500,943,936
5. Step 5: Solve for x
   x = 16,500,943,936/58,396
6. Step 6: Final answer
   x = 282,569.76