Finding the Third Proportional to 382,956 and 536,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   382,956 : 536,643.75 = 536,643.75 : x
2. Step 2: Convert to fraction form
   382,956/536,643.75 = 536,643.75/x
3. Step 3: Cross multiply
   382,956x = 536,643.75 × 536,643.75
4. Step 4: Simplify right side
   382,956x = 287,986,514,414.06
5. Step 5: Solve for x
   x = 287,986,514,414.06/382,956
6. Step 6: Final answer
   x = 752,009.41