Finding the Third Proportional to 102,821.50 and 238,009

Step by Step Solution

1. Step 1: Write the proportion equation
   102,821.50 : 238,009 = 238,009 : x
2. Step 2: Convert to fraction form
   102,821.50/238,009 = 238,009/x
3. Step 3: Cross multiply
   102,821.50x = 238,009 × 238,009
4. Step 4: Simplify right side
   102,821.50x = 56,648,284,081
5. Step 5: Solve for x
   x = 56,648,284,081/102,821.50
6. Step 6: Final answer
   x = 550,938.12