Finding the Third Proportional to 123,405 and 262,380.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,405 : 262,380.75 = 262,380.75 : x
2. Step 2: Convert to fraction form
   123,405/262,380.75 = 262,380.75/x
3. Step 3: Cross multiply
   123,405x = 262,380.75 × 262,380.75
4. Step 4: Simplify right side
   123,405x = 68,843,657,970.56
5. Step 5: Solve for x
   x = 68,843,657,970.56/123,405
6. Step 6: Final answer
   x = 557,867.66