Finding the Third Proportional to 137,430 and 298,360

Step by Step Solution

1. Step 1: Write the proportion equation
   137,430 : 298,360 = 298,360 : x
2. Step 2: Convert to fraction form
   137,430/298,360 = 298,360/x
3. Step 3: Cross multiply
   137,430x = 298,360 × 298,360
4. Step 4: Simplify right side
   137,430x = 89,018,689,600
5. Step 5: Solve for x
   x = 89,018,689,600/137,430
6. Step 6: Final answer
   x = 647,738.41