Finding the Third Proportional to 298,969.50 and 436,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,969.50 : 436,942.50 = 436,942.50 : x
2. Step 2: Convert to fraction form
   298,969.50/436,942.50 = 436,942.50/x
3. Step 3: Cross multiply
   298,969.50x = 436,942.50 × 436,942.50
4. Step 4: Simplify right side
   298,969.50x = 190,918,748,306.25
5. Step 5: Solve for x
   x = 190,918,748,306.25/298,969.50
6. Step 6: Final answer
   x = 638,589.38