Finding the Third Proportional to 163,821 and 260,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,821 : 260,488.50 = 260,488.50 : x
2. Step 2: Convert to fraction form
   163,821/260,488.50 = 260,488.50/x
3. Step 3: Cross multiply
   163,821x = 260,488.50 × 260,488.50
4. Step 4: Simplify right side
   163,821x = 67,854,258,632.25
5. Step 5: Solve for x
   x = 67,854,258,632.25/163,821
6. Step 6: Final answer
   x = 414,197.56