Finding the Third Proportional to 382,968 and 536,645.25

Step by Step Solution

1. Step 1: Write the proportion equation
   382,968 : 536,645.25 = 536,645.25 : x
2. Step 2: Convert to fraction form
   382,968/536,645.25 = 536,645.25/x
3. Step 3: Cross multiply
   382,968x = 536,645.25 × 536,645.25
4. Step 4: Simplify right side
   382,968x = 287,988,124,347.56
5. Step 5: Solve for x
   x = 287,988,124,347.56/382,968
6. Step 6: Final answer
   x = 751,990.05