Finding the Third Proportional to 238,077 and 324,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,077 : 324,211.50 = 324,211.50 : x
2. Step 2: Convert to fraction form
   238,077/324,211.50 = 324,211.50/x
3. Step 3: Cross multiply
   238,077x = 324,211.50 × 324,211.50
4. Step 4: Simplify right side
   238,077x = 105,113,096,732.25
5. Step 5: Solve for x
   x = 105,113,096,732.25/238,077
6. Step 6: Final answer
   x = 441,508.83