Finding the Third Proportional to 381,690.50 and 518,377

Step by Step Solution

1. Step 1: Write the proportion equation
   381,690.50 : 518,377 = 518,377 : x
2. Step 2: Convert to fraction form
   381,690.50/518,377 = 518,377/x
3. Step 3: Cross multiply
   381,690.50x = 518,377 × 518,377
4. Step 4: Simplify right side
   381,690.50x = 268,714,714,129
5. Step 5: Solve for x
   x = 268,714,714,129/381,690.50
6. Step 6: Final answer
   x = 704,012.06