Finding the Third Proportional to 238,784 and 323,112

Step by Step Solution

1. Step 1: Write the proportion equation
   238,784 : 323,112 = 323,112 : x
2. Step 2: Convert to fraction form
   238,784/323,112 = 323,112/x
3. Step 3: Cross multiply
   238,784x = 323,112 × 323,112
4. Step 4: Simplify right side
   238,784x = 104,401,364,544
5. Step 5: Solve for x
   x = 104,401,364,544/238,784
6. Step 6: Final answer
   x = 437,220.94