Finding the Third Proportional to 149,850 and 321,023.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149,850 : 321,023.25 = 321,023.25 : x
2. Step 2: Convert to fraction form
   149,850/321,023.25 = 321,023.25/x
3. Step 3: Cross multiply
   149,850x = 321,023.25 × 321,023.25
4. Step 4: Simplify right side
   149,850x = 103,055,927,040.56
5. Step 5: Solve for x
   x = 103,055,927,040.56/149,850
6. Step 6: Final answer
   x = 687,727.24