Finding the Third Proportional to 137,412 and 298,320

Step by Step Solution

1. Step 1: Write the proportion equation
   137,412 : 298,320 = 298,320 : x
2. Step 2: Convert to fraction form
   137,412/298,320 = 298,320/x
3. Step 3: Cross multiply
   137,412x = 298,320 × 298,320
4. Step 4: Simplify right side
   137,412x = 88,994,822,400
5. Step 5: Solve for x
   x = 88,994,822,400/137,412
6. Step 6: Final answer
   x = 647,649.57