Finding the Third Proportional to 137,577 and 298,055

Step by Step Solution

1. Step 1: Write the proportion equation
   137,577 : 298,055 = 298,055 : x
2. Step 2: Convert to fraction form
   137,577/298,055 = 298,055/x
3. Step 3: Cross multiply
   137,577x = 298,055 × 298,055
4. Step 4: Simplify right side
   137,577x = 88,836,783,025
5. Step 5: Solve for x
   x = 88,836,783,025/137,577
6. Step 6: Final answer
   x = 645,724.09