Finding the Third Proportional to 59,328 and 130,323

Step by Step Solution

1. Step 1: Write the proportion equation
   59,328 : 130,323 = 130,323 : x
2. Step 2: Convert to fraction form
   59,328/130,323 = 130,323/x
3. Step 3: Cross multiply
   59,328x = 130,323 × 130,323
4. Step 4: Simplify right side
   59,328x = 16,984,084,329
5. Step 5: Solve for x
   x = 16,984,084,329/59,328
6. Step 6: Final answer
   x = 286,274.34