Finding the Third Proportional to 816,096 and 1,224,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   816,096 : 1,224,145.50 = 1,224,145.50 : x
2. Step 2: Convert to fraction form
   816,096/1,224,145.50 = 1,224,145.50/x
3. Step 3: Cross multiply
   816,096x = 1,224,145.50 × 1,224,145.50
4. Step 4: Simplify right side
   816,096x = 1,498,532,205,170.25
5. Step 5: Solve for x
   x = 1,498,532,205,170.25/816,096
6. Step 6: Final answer
   x = 1,836,220.50