Finding the Third Proportional to 277,075.50 and 596,526

Step by Step Solution

1. Step 1: Write the proportion equation
   277,075.50 : 596,526 = 596,526 : x
2. Step 2: Convert to fraction form
   277,075.50/596,526 = 596,526/x
3. Step 3: Cross multiply
   277,075.50x = 596,526 × 596,526
4. Step 4: Simplify right side
   277,075.50x = 355,843,268,676
5. Step 5: Solve for x
   x = 355,843,268,676/277,075.50
6. Step 6: Final answer
   x = 1,284,282.69