Finding the Third Proportional to 253,914 and 385,859.25

Step by Step Solution

1. Step 1: Write the proportion equation
   253,914 : 385,859.25 = 385,859.25 : x
2. Step 2: Convert to fraction form
   253,914/385,859.25 = 385,859.25/x
3. Step 3: Cross multiply
   253,914x = 385,859.25 × 385,859.25
4. Step 4: Simplify right side
   253,914x = 148,887,360,810.56
5. Step 5: Solve for x
   x = 148,887,360,810.56/253,914
6. Step 6: Final answer
   x = 586,369.25