Finding the Third Proportional to 309,595 and 632,308

Step by Step Solution

1. Step 1: Write the proportion equation
   309,595 : 632,308 = 632,308 : x
2. Step 2: Convert to fraction form
   309,595/632,308 = 632,308/x
3. Step 3: Cross multiply
   309,595x = 632,308 × 632,308
4. Step 4: Simplify right side
   309,595x = 399,813,406,864
5. Step 5: Solve for x
   x = 399,813,406,864/309,595
6. Step 6: Final answer
   x = 1,291,407.83