Finding the Third Proportional to 285,525 and 401,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   285,525 : 401,725.50 = 401,725.50 : x
2. Step 2: Convert to fraction form
   285,525/401,725.50 = 401,725.50/x
3. Step 3: Cross multiply
   285,525x = 401,725.50 × 401,725.50
4. Step 4: Simplify right side
   285,525x = 161,383,377,350.25
5. Step 5: Solve for x
   x = 161,383,377,350.25/285,525
6. Step 6: Final answer
   x = 565,216.28