Finding the Third Proportional to 277,509.50 and 601,675

Step by Step Solution

1. Step 1: Write the proportion equation
   277,509.50 : 601,675 = 601,675 : x
2. Step 2: Convert to fraction form
   277,509.50/601,675 = 601,675/x
3. Step 3: Cross multiply
   277,509.50x = 601,675 × 601,675
4. Step 4: Simplify right side
   277,509.50x = 362,012,805,625
5. Step 5: Solve for x
   x = 362,012,805,625/277,509.50
6. Step 6: Final answer
   x = 1,304,505.99