Finding the Third Proportional to 498,433.50 and 773,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498,433.50 : 773,225.50 = 773,225.50 : x
2. Step 2: Convert to fraction form
   498,433.50/773,225.50 = 773,225.50/x
3. Step 3: Cross multiply
   498,433.50x = 773,225.50 × 773,225.50
4. Step 4: Simplify right side
   498,433.50x = 597,877,673,850.25
5. Step 5: Solve for x
   x = 597,877,673,850.25/498,433.50
6. Step 6: Final answer
   x = 1,199,513.42