Finding the Third Proportional to 149,689.50 and 322,707

Step by Step Solution

1. Step 1: Write the proportion equation
   149,689.50 : 322,707 = 322,707 : x
2. Step 2: Convert to fraction form
   149,689.50/322,707 = 322,707/x
3. Step 3: Cross multiply
   149,689.50x = 322,707 × 322,707
4. Step 4: Simplify right side
   149,689.50x = 104,139,807,849
5. Step 5: Solve for x
   x = 104,139,807,849/149,689.50
6. Step 6: Final answer
   x = 695,705.50