Finding the Third Proportional to 309,622.50 and 682,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,622.50 : 682,096.50 = 682,096.50 : x
2. Step 2: Convert to fraction form
   309,622.50/682,096.50 = 682,096.50/x
3. Step 3: Cross multiply
   309,622.50x = 682,096.50 × 682,096.50
4. Step 4: Simplify right side
   309,622.50x = 465,255,635,312.25
5. Step 5: Solve for x
   x = 465,255,635,312.25/309,622.50
6. Step 6: Final answer
   x = 1,502,654.48