Finding the Third Proportional to 507,590 and 714,166

Step by Step Solution

1. Step 1: Write the proportion equation
   507,590 : 714,166 = 714,166 : x
2. Step 2: Convert to fraction form
   507,590/714,166 = 714,166/x
3. Step 3: Cross multiply
   507,590x = 714,166 × 714,166
4. Step 4: Simplify right side
   507,590x = 510,033,075,556
5. Step 5: Solve for x
   x = 510,033,075,556/507,590
6. Step 6: Final answer
   x = 1,004,813.09