Finding the Third Proportional to 262,630.50 and 407,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,630.50 : 407,446.50 = 407,446.50 : x
2. Step 2: Convert to fraction form
   262,630.50/407,446.50 = 407,446.50/x
3. Step 3: Cross multiply
   262,630.50x = 407,446.50 × 407,446.50
4. Step 4: Simplify right side
   262,630.50x = 166,012,650,362.25
5. Step 5: Solve for x
   x = 166,012,650,362.25/262,630.50
6. Step 6: Final answer
   x = 632,114.89