Finding the Third Proportional to 337,592.25 and 510,003

Step by Step Solution

1. Step 1: Write the proportion equation
   337,592.25 : 510,003 = 510,003 : x
2. Step 2: Convert to fraction form
   337,592.25/510,003 = 510,003/x
3. Step 3: Cross multiply
   337,592.25x = 510,003 × 510,003
4. Step 4: Simplify right side
   337,592.25x = 260,103,060,009
5. Step 5: Solve for x
   x = 260,103,060,009/337,592.25
6. Step 6: Final answer
   x = 770,465.14