Finding the Third Proportional to 419,611.50 and 632,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,611.50 : 632,920.50 = 632,920.50 : x
2. Step 2: Convert to fraction form
   419,611.50/632,920.50 = 632,920.50/x
3. Step 3: Cross multiply
   419,611.50x = 632,920.50 × 632,920.50
4. Step 4: Simplify right side
   419,611.50x = 400,588,359,320.25
5. Step 5: Solve for x
   x = 400,588,359,320.25/419,611.50
6. Step 6: Final answer
   x = 954,664.87