Finding the Third Proportional to 149,828 and 321,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,828 : 321,890.50 = 321,890.50 : x
2. Step 2: Convert to fraction form
   149,828/321,890.50 = 321,890.50/x
3. Step 3: Cross multiply
   149,828x = 321,890.50 × 321,890.50
4. Step 4: Simplify right side
   149,828x = 103,613,493,990.25
5. Step 5: Solve for x
   x = 103,613,493,990.25/149,828
6. Step 6: Final answer
   x = 691,549.60