Finding the Third Proportional to 149,825.50 and 321,884

Step by Step Solution

1. Step 1: Write the proportion equation
   149,825.50 : 321,884 = 321,884 : x
2. Step 2: Convert to fraction form
   149,825.50/321,884 = 321,884/x
3. Step 3: Cross multiply
   149,825.50x = 321,884 × 321,884
4. Step 4: Simplify right side
   149,825.50x = 103,609,309,456
5. Step 5: Solve for x
   x = 103,609,309,456/149,825.50
6. Step 6: Final answer
   x = 691,533.21