Finding the Third Proportional to 382,726 and 838,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,726 : 838,716.50 = 838,716.50 : x
2. Step 2: Convert to fraction form
   382,726/838,716.50 = 838,716.50/x
3. Step 3: Cross multiply
   382,726x = 838,716.50 × 838,716.50
4. Step 4: Simplify right side
   382,726x = 703,445,367,372.25
5. Step 5: Solve for x
   x = 703,445,367,372.25/382,726
6. Step 6: Final answer
   x = 1,837,986.88