Finding the Third Proportional to 109,800 and 256,740

Step by Step Solution

1. Step 1: Write the proportion equation
   109,800 : 256,740 = 256,740 : x
2. Step 2: Convert to fraction form
   109,800/256,740 = 256,740/x
3. Step 3: Cross multiply
   109,800x = 256,740 × 256,740
4. Step 4: Simplify right side
   109,800x = 65,915,427,600
5. Step 5: Solve for x
   x = 65,915,427,600/109,800
6. Step 6: Final answer
   x = 600,322.66