Finding the Third Proportional to 253,278.50 and 385,140

Step by Step Solution

1. Step 1: Write the proportion equation
   253,278.50 : 385,140 = 385,140 : x
2. Step 2: Convert to fraction form
   253,278.50/385,140 = 385,140/x
3. Step 3: Cross multiply
   253,278.50x = 385,140 × 385,140
4. Step 4: Simplify right side
   253,278.50x = 148,332,819,600
5. Step 5: Solve for x
   x = 148,332,819,600/253,278.50
6. Step 6: Final answer
   x = 585,651.05