Finding the Third Proportional to 59,264 and 130,544

Step by Step Solution

1. Step 1: Write the proportion equation
   59,264 : 130,544 = 130,544 : x
2. Step 2: Convert to fraction form
   59,264/130,544 = 130,544/x
3. Step 3: Cross multiply
   59,264x = 130,544 × 130,544
4. Step 4: Simplify right side
   59,264x = 17,041,735,936
5. Step 5: Solve for x
   x = 17,041,735,936/59,264
6. Step 6: Final answer
   x = 287,556.29