Finding the Third Proportional to 102,819 and 238,004

Step by Step Solution

1. Step 1: Write the proportion equation
   102,819 : 238,004 = 238,004 : x
2. Step 2: Convert to fraction form
   102,819/238,004 = 238,004/x
3. Step 3: Cross multiply
   102,819x = 238,004 × 238,004
4. Step 4: Simplify right side
   102,819x = 56,645,904,016
5. Step 5: Solve for x
   x = 56,645,904,016/102,819
6. Step 6: Final answer
   x = 550,928.37