Finding the Third Proportional to 386,874 and 823,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,874 : 823,567.50 = 823,567.50 : x
2. Step 2: Convert to fraction form
   386,874/823,567.50 = 823,567.50/x
3. Step 3: Cross multiply
   386,874x = 823,567.50 × 823,567.50
4. Step 4: Simplify right side
   386,874x = 678,263,427,056.25
5. Step 5: Solve for x
   x = 678,263,427,056.25/386,874
6. Step 6: Final answer
   x = 1,753,189.48