Finding the Third Proportional to 277,561 and 439,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,561 : 439,075.50 = 439,075.50 : x
2. Step 2: Convert to fraction form
   277,561/439,075.50 = 439,075.50/x
3. Step 3: Cross multiply
   277,561x = 439,075.50 × 439,075.50
4. Step 4: Simplify right side
   277,561x = 192,787,294,700.25
5. Step 5: Solve for x
   x = 192,787,294,700.25/277,561
6. Step 6: Final answer
   x = 694,576.31