Finding the Third Proportional to 378,871.50 and 829,093

Step by Step Solution

1. Step 1: Write the proportion equation
   378,871.50 : 829,093 = 829,093 : x
2. Step 2: Convert to fraction form
   378,871.50/829,093 = 829,093/x
3. Step 3: Cross multiply
   378,871.50x = 829,093 × 829,093
4. Step 4: Simplify right side
   378,871.50x = 687,395,202,649
5. Step 5: Solve for x
   x = 687,395,202,649/378,871.50
6. Step 6: Final answer
   x = 1,814,322.81