Finding the Third Proportional to 387,524.25 and 565,974

Step by Step Solution

1. Step 1: Write the proportion equation
   387,524.25 : 565,974 = 565,974 : x
2. Step 2: Convert to fraction form
   387,524.25/565,974 = 565,974/x
3. Step 3: Cross multiply
   387,524.25x = 565,974 × 565,974
4. Step 4: Simplify right side
   387,524.25x = 320,326,568,676
5. Step 5: Solve for x
   x = 320,326,568,676/387,524.25
6. Step 6: Final answer
   x = 826,597.48