Finding the Third Proportional to 386,883 and 823,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,883 : 823,585.50 = 823,585.50 : x
2. Step 2: Convert to fraction form
   386,883/823,585.50 = 823,585.50/x
3. Step 3: Cross multiply
   386,883x = 823,585.50 × 823,585.50
4. Step 4: Simplify right side
   386,883x = 678,293,075,810.25
5. Step 5: Solve for x
   x = 678,293,075,810.25/386,883
6. Step 6: Final answer
   x = 1,753,225.33