Finding the Third Proportional to 102,818 and 238,005

Step by Step Solution

1. Step 1: Write the proportion equation
   102,818 : 238,005 = 238,005 : x
2. Step 2: Convert to fraction form
   102,818/238,005 = 238,005/x
3. Step 3: Cross multiply
   102,818x = 238,005 × 238,005
4. Step 4: Simplify right side
   102,818x = 56,646,380,025
5. Step 5: Solve for x
   x = 56,646,380,025/102,818
6. Step 6: Final answer
   x = 550,938.36