Finding the Third Proportional to 163,564.50 and 333,143.25

Step by Step Solution

1. Step 1: Write the proportion equation
   163,564.50 : 333,143.25 = 333,143.25 : x
2. Step 2: Convert to fraction form
   163,564.50/333,143.25 = 333,143.25/x
3. Step 3: Cross multiply
   163,564.50x = 333,143.25 × 333,143.25
4. Step 4: Simplify right side
   163,564.50x = 110,984,425,020.56
5. Step 5: Solve for x
   x = 110,984,425,020.56/163,564.50
6. Step 6: Final answer
   x = 678,536.14