Finding the Third Proportional to 298,027.50 and 646,512

Step by Step Solution

1. Step 1: Write the proportion equation
   298,027.50 : 646,512 = 646,512 : x
2. Step 2: Convert to fraction form
   298,027.50/646,512 = 646,512/x
3. Step 3: Cross multiply
   298,027.50x = 646,512 × 646,512
4. Step 4: Simplify right side
   298,027.50x = 417,977,766,144
5. Step 5: Solve for x
   x = 417,977,766,144/298,027.50
6. Step 6: Final answer
   x = 1,402,480.53