Finding the Third Proportional to 137,852 and 298,300

Step by Step Solution

1. Step 1: Write the proportion equation
   137,852 : 298,300 = 298,300 : x
2. Step 2: Convert to fraction form
   137,852/298,300 = 298,300/x
3. Step 3: Cross multiply
   137,852x = 298,300 × 298,300
4. Step 4: Simplify right side
   137,852x = 88,982,890,000
5. Step 5: Solve for x
   x = 88,982,890,000/137,852
6. Step 6: Final answer
   x = 645,495.82