Finding the Third Proportional to 337,386 and 509,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   337,386 : 509,539.50 = 509,539.50 : x
2. Step 2: Convert to fraction form
   337,386/509,539.50 = 509,539.50/x
3. Step 3: Cross multiply
   337,386x = 509,539.50 × 509,539.50
4. Step 4: Simplify right side
   337,386x = 259,630,502,060.25
5. Step 5: Solve for x
   x = 259,630,502,060.25/337,386
6. Step 6: Final answer
   x = 769,535.49