Finding the Third Proportional to 595,929 and 765,144

Step by Step Solution

1. Step 1: Write the proportion equation
   595,929 : 765,144 = 765,144 : x
2. Step 2: Convert to fraction form
   595,929/765,144 = 765,144/x
3. Step 3: Cross multiply
   595,929x = 765,144 × 765,144
4. Step 4: Simplify right side
   595,929x = 585,445,340,736
5. Step 5: Solve for x
   x = 585,445,340,736/595,929
6. Step 6: Final answer
   x = 982,407.87