Finding the Third Proportional to 385,509 and 835,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,509 : 835,372.50 = 835,372.50 : x
2. Step 2: Convert to fraction form
   385,509/835,372.50 = 835,372.50/x
3. Step 3: Cross multiply
   385,509x = 835,372.50 × 835,372.50
4. Step 4: Simplify right side
   385,509x = 697,847,213,756.25
5. Step 5: Solve for x
   x = 697,847,213,756.25/385,509
6. Step 6: Final answer
   x = 1,810,196.94