Finding the Third Proportional to 274,233 and 414,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,233 : 414,265.50 = 414,265.50 : x
2. Step 2: Convert to fraction form
   274,233/414,265.50 = 414,265.50/x
3. Step 3: Cross multiply
   274,233x = 414,265.50 × 414,265.50
4. Step 4: Simplify right side
   274,233x = 171,615,904,490.25
5. Step 5: Solve for x
   x = 171,615,904,490.25/274,233
6. Step 6: Final answer
   x = 625,803.26