Finding the Third Proportional to 492,075 and 628,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   492,075 : 628,762.50 = 628,762.50 : x
2. Step 2: Convert to fraction form
   492,075/628,762.50 = 628,762.50/x
3. Step 3: Cross multiply
   492,075x = 628,762.50 × 628,762.50
4. Step 4: Simplify right side
   492,075x = 395,342,281,406.25
5. Step 5: Solve for x
   x = 395,342,281,406.25/492,075
6. Step 6: Final answer
   x = 803,418.75