Finding the Third Proportional to 277,281 and 414,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,281 : 414,073.50 = 414,073.50 : x
2. Step 2: Convert to fraction form
   277,281/414,073.50 = 414,073.50/x
3. Step 3: Cross multiply
   277,281x = 414,073.50 × 414,073.50
4. Step 4: Simplify right side
   277,281x = 171,456,863,402.25
5. Step 5: Solve for x
   x = 171,456,863,402.25/277,281
6. Step 6: Final answer
   x = 618,350.57