Finding the Third Proportional to 149,868 and 321,054

Step by Step Solution

1. Step 1: Write the proportion equation
   149,868 : 321,054 = 321,054 : x
2. Step 2: Convert to fraction form
   149,868/321,054 = 321,054/x
3. Step 3: Cross multiply
   149,868x = 321,054 × 321,054
4. Step 4: Simplify right side
   149,868x = 103,075,670,916
5. Step 5: Solve for x
   x = 103,075,670,916/149,868
6. Step 6: Final answer
   x = 687,776.38