Finding the Third Proportional to 354,718.50 and 509,934

Step by Step Solution

1. Step 1: Write the proportion equation
   354,718.50 : 509,934 = 509,934 : x
2. Step 2: Convert to fraction form
   354,718.50/509,934 = 509,934/x
3. Step 3: Cross multiply
   354,718.50x = 509,934 × 509,934
4. Step 4: Simplify right side
   354,718.50x = 260,032,684,356
5. Step 5: Solve for x
   x = 260,032,684,356/354,718.50
6. Step 6: Final answer
   x = 733,067.73