Finding the Third Proportional to 316,236 and 410,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,236 : 410,383.50 = 410,383.50 : x
2. Step 2: Convert to fraction form
   316,236/410,383.50 = 410,383.50/x
3. Step 3: Cross multiply
   316,236x = 410,383.50 × 410,383.50
4. Step 4: Simplify right side
   316,236x = 168,414,617,072.25
5. Step 5: Solve for x
   x = 168,414,617,072.25/316,236
6. Step 6: Final answer
   x = 532,559.91