Finding the Third Proportional to 102,219 and 162,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,219 : 162,544.50 = 162,544.50 : x
2. Step 2: Convert to fraction form
   102,219/162,544.50 = 162,544.50/x
3. Step 3: Cross multiply
   102,219x = 162,544.50 × 162,544.50
4. Step 4: Simplify right side
   102,219x = 26,420,714,480.25
5. Step 5: Solve for x
   x = 26,420,714,480.25/102,219
6. Step 6: Final answer
   x = 258,471.66