Finding the Third Proportional to 413,917 and 632,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,917 : 632,905.50 = 632,905.50 : x
2. Step 2: Convert to fraction form
   413,917/632,905.50 = 632,905.50/x
3. Step 3: Cross multiply
   413,917x = 632,905.50 × 632,905.50
4. Step 4: Simplify right side
   413,917x = 400,569,371,930.25
5. Step 5: Solve for x
   x = 400,569,371,930.25/413,917
6. Step 6: Final answer
   x = 967,752.89