Finding the Third Proportional to 277,275 and 414,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,275 : 414,064.50 = 414,064.50 : x
2. Step 2: Convert to fraction form
   277,275/414,064.50 = 414,064.50/x
3. Step 3: Cross multiply
   277,275x = 414,064.50 × 414,064.50
4. Step 4: Simplify right side
   277,275x = 171,449,410,160.25
5. Step 5: Solve for x
   x = 171,449,410,160.25/277,275
6. Step 6: Final answer
   x = 618,337.07