Finding the Third Proportional to 337,392 and 509,573.53

Step by Step Solution

1. Step 1: Write the proportion equation
   337,392 : 509,573.53 = 509,573.53 : x
2. Step 2: Convert to fraction form
   337,392/509,573.53 = 509,573.53/x
3. Step 3: Cross multiply
   337,392x = 509,573.53 × 509,573.53
4. Step 4: Simplify right side
   337,392x = 259,665,183,750.60
5. Step 5: Solve for x
   x = 259,665,183,750.60/337,392
6. Step 6: Final answer
   x = 769,624.60