Finding the Third Proportional to 414,598.50 and 892,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,598.50 : 892,957.50 = 892,957.50 : x
2. Step 2: Convert to fraction form
   414,598.50/892,957.50 = 892,957.50/x
3. Step 3: Cross multiply
   414,598.50x = 892,957.50 × 892,957.50
4. Step 4: Simplify right side
   414,598.50x = 797,373,096,806.25
5. Step 5: Solve for x
   x = 797,373,096,806.25/414,598.50
6. Step 6: Final answer
   x = 1,923,241.63