Finding the Third Proportional to 162,054 and 256,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,054 : 256,378.50 = 256,378.50 : x
2. Step 2: Convert to fraction form
   162,054/256,378.50 = 256,378.50/x
3. Step 3: Cross multiply
   162,054x = 256,378.50 × 256,378.50
4. Step 4: Simplify right side
   162,054x = 65,729,935,262.25
5. Step 5: Solve for x
   x = 65,729,935,262.25/162,054
6. Step 6: Final answer
   x = 405,605.14