Finding the Third Proportional to 253,281.50 and 385,144

Step by Step Solution

1. Step 1: Write the proportion equation
   253,281.50 : 385,144 = 385,144 : x
2. Step 2: Convert to fraction form
   253,281.50/385,144 = 385,144/x
3. Step 3: Cross multiply
   253,281.50x = 385,144 × 385,144
4. Step 4: Simplify right side
   253,281.50x = 148,335,900,736
5. Step 5: Solve for x
   x = 148,335,900,736/253,281.50
6. Step 6: Final answer
   x = 585,656.28