Finding the Third Proportional to 59,328 and 130,338

Step by Step Solution

1. Step 1: Write the proportion equation
   59,328 : 130,338 = 130,338 : x
2. Step 2: Convert to fraction form
   59,328/130,338 = 130,338/x
3. Step 3: Cross multiply
   59,328x = 130,338 × 130,338
4. Step 4: Simplify right side
   59,328x = 16,987,994,244
5. Step 5: Solve for x
   x = 16,987,994,244/59,328
6. Step 6: Final answer
   x = 286,340.25