Finding the Third Proportional to 382,278 and 892,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,278 : 892,816.50 = 892,816.50 : x
2. Step 2: Convert to fraction form
   382,278/892,816.50 = 892,816.50/x
3. Step 3: Cross multiply
   382,278x = 892,816.50 × 892,816.50
4. Step 4: Simplify right side
   382,278x = 797,121,302,672.25
5. Step 5: Solve for x
   x = 797,121,302,672.25/382,278
6. Step 6: Final answer
   x = 2,085,187.49