Finding the Third Proportional to 123,075 and 290,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,075 : 290,371.50 = 290,371.50 : x
2. Step 2: Convert to fraction form
   123,075/290,371.50 = 290,371.50/x
3. Step 3: Cross multiply
   123,075x = 290,371.50 × 290,371.50
4. Step 4: Simplify right side
   123,075x = 84,315,608,012.25
5. Step 5: Solve for x
   x = 84,315,608,012.25/123,075
6. Step 6: Final answer
   x = 685,075.02