Finding the Third Proportional to 512,274 and 823,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,274 : 823,084.50 = 823,084.50 : x
2. Step 2: Convert to fraction form
   512,274/823,084.50 = 823,084.50/x
3. Step 3: Cross multiply
   512,274x = 823,084.50 × 823,084.50
4. Step 4: Simplify right side
   512,274x = 677,468,094,140.25
5. Step 5: Solve for x
   x = 677,468,094,140.25/512,274
6. Step 6: Final answer
   x = 1,322,472.14