Finding the Third Proportional to 359,730 and 519,705

Step by Step Solution

1. Step 1: Write the proportion equation
   359,730 : 519,705 = 519,705 : x
2. Step 2: Convert to fraction form
   359,730/519,705 = 519,705/x
3. Step 3: Cross multiply
   359,730x = 519,705 × 519,705
4. Step 4: Simplify right side
   359,730x = 270,093,287,025
5. Step 5: Solve for x
   x = 270,093,287,025/359,730
6. Step 6: Final answer
   x = 750,822.25