Finding the Third Proportional to 378,567 and 586,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,567 : 586,075.50 = 586,075.50 : x
2. Step 2: Convert to fraction form
   378,567/586,075.50 = 586,075.50/x
3. Step 3: Cross multiply
   378,567x = 586,075.50 × 586,075.50
4. Step 4: Simplify right side
   378,567x = 343,484,491,700.25
5. Step 5: Solve for x
   x = 343,484,491,700.25/378,567
6. Step 6: Final answer
   x = 907,328.14