Finding the Third Proportional to 535,383 and 829,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   535,383 : 829,399.50 = 829,399.50 : x
2. Step 2: Convert to fraction form
   535,383/829,399.50 = 829,399.50/x
3. Step 3: Cross multiply
   535,383x = 829,399.50 × 829,399.50
4. Step 4: Simplify right side
   535,383x = 687,903,530,600.25
5. Step 5: Solve for x
   x = 687,903,530,600.25/535,383
6. Step 6: Final answer
   x = 1,284,881.16