Finding the Third Proportional to 149,856 and 320,967

Step by Step Solution

1. Step 1: Write the proportion equation
   149,856 : 320,967 = 320,967 : x
2. Step 2: Convert to fraction form
   149,856/320,967 = 320,967/x
3. Step 3: Cross multiply
   149,856x = 320,967 × 320,967
4. Step 4: Simplify right side
   149,856x = 103,019,815,089
5. Step 5: Solve for x
   x = 103,019,815,089/149,856
6. Step 6: Final answer
   x = 687,458.73