Finding the Third Proportional to 137,328 and 295,200

Step by Step Solution

1. Step 1: Write the proportion equation
   137,328 : 295,200 = 295,200 : x
2. Step 2: Convert to fraction form
   137,328/295,200 = 295,200/x
3. Step 3: Cross multiply
   137,328x = 295,200 × 295,200
4. Step 4: Simplify right side
   137,328x = 87,143,040,000
5. Step 5: Solve for x
   x = 87,143,040,000/137,328
6. Step 6: Final answer
   x = 634,561.34