Finding the Third Proportional to 382,110 and 830,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,110 : 830,557.50 = 830,557.50 : x
2. Step 2: Convert to fraction form
   382,110/830,557.50 = 830,557.50/x
3. Step 3: Cross multiply
   382,110x = 830,557.50 × 830,557.50
4. Step 4: Simplify right side
   382,110x = 689,825,760,806.25
5. Step 5: Solve for x
   x = 689,825,760,806.25/382,110
6. Step 6: Final answer
   x = 1,805,306.75