Finding the Third Proportional to 137,120 and 297,280

Step by Step Solution

1. Step 1: Write the proportion equation
   137,120 : 297,280 = 297,280 : x
2. Step 2: Convert to fraction form
   137,120/297,280 = 297,280/x
3. Step 3: Cross multiply
   137,120x = 297,280 × 297,280
4. Step 4: Simplify right side
   137,120x = 88,375,398,400
5. Step 5: Solve for x
   x = 88,375,398,400/137,120
6. Step 6: Final answer
   x = 644,511.37