Finding the Third Proportional to 121,719 and 262,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,719 : 262,162.50 = 262,162.50 : x
2. Step 2: Convert to fraction form
   121,719/262,162.50 = 262,162.50/x
3. Step 3: Cross multiply
   121,719x = 262,162.50 × 262,162.50
4. Step 4: Simplify right side
   121,719x = 68,729,176,406.25
5. Step 5: Solve for x
   x = 68,729,176,406.25/121,719
6. Step 6: Final answer
   x = 564,654.46