Finding the Third Proportional to 168,858 and 256,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   168,858 : 256,768.50 = 256,768.50 : x
2. Step 2: Convert to fraction form
   168,858/256,768.50 = 256,768.50/x
3. Step 3: Cross multiply
   168,858x = 256,768.50 × 256,768.50
4. Step 4: Simplify right side
   168,858x = 65,930,062,592.25
5. Step 5: Solve for x
   x = 65,930,062,592.25/168,858
6. Step 6: Final answer
   x = 390,446.78