Finding the Third Proportional to 343,378 and 504,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,378 : 504,789.50 = 504,789.50 : x
2. Step 2: Convert to fraction form
   343,378/504,789.50 = 504,789.50/x
3. Step 3: Cross multiply
   343,378x = 504,789.50 × 504,789.50
4. Step 4: Simplify right side
   343,378x = 254,812,439,310.25
5. Step 5: Solve for x
   x = 254,812,439,310.25/343,378
6. Step 6: Final answer
   x = 742,075.61