Finding the Third Proportional to 262,648.50 and 384,657

Step by Step Solution

1. Step 1: Write the proportion equation
   262,648.50 : 384,657 = 384,657 : x
2. Step 2: Convert to fraction form
   262,648.50/384,657 = 384,657/x
3. Step 3: Cross multiply
   262,648.50x = 384,657 × 384,657
4. Step 4: Simplify right side
   262,648.50x = 147,961,007,649
5. Step 5: Solve for x
   x = 147,961,007,649/262,648.50
6. Step 6: Final answer
   x = 563,342.29