Finding the Third Proportional to 162,056 and 256,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,056 : 256,403.50 = 256,403.50 : x
2. Step 2: Convert to fraction form
   162,056/256,403.50 = 256,403.50/x
3. Step 3: Cross multiply
   162,056x = 256,403.50 × 256,403.50
4. Step 4: Simplify right side
   162,056x = 65,742,754,812.25
5. Step 5: Solve for x
   x = 65,742,754,812.25/162,056
6. Step 6: Final answer
   x = 405,679.24