Finding the Third Proportional to 274,752 and 434,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,752 : 434,254.50 = 434,254.50 : x
2. Step 2: Convert to fraction form
   274,752/434,254.50 = 434,254.50/x
3. Step 3: Cross multiply
   274,752x = 434,254.50 × 434,254.50
4. Step 4: Simplify right side
   274,752x = 188,576,970,770.25
5. Step 5: Solve for x
   x = 188,576,970,770.25/274,752
6. Step 6: Final answer
   x = 686,353.41