Finding the Third Proportional to 309,601 and 632,323

Step by Step Solution

1. Step 1: Write the proportion equation
   309,601 : 632,323 = 632,323 : x
2. Step 2: Convert to fraction form
   309,601/632,323 = 632,323/x
3. Step 3: Cross multiply
   309,601x = 632,323 × 632,323
4. Step 4: Simplify right side
   309,601x = 399,832,376,329
5. Step 5: Solve for x
   x = 399,832,376,329/309,601
6. Step 6: Final answer
   x = 1,291,444.07