Finding the Third Proportional to 149,823 and 321,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,823 : 321,880.50 = 321,880.50 : x
2. Step 2: Convert to fraction form
   149,823/321,880.50 = 321,880.50/x
3. Step 3: Cross multiply
   149,823x = 321,880.50 × 321,880.50
4. Step 4: Simplify right side
   149,823x = 103,607,056,280.25
5. Step 5: Solve for x
   x = 103,607,056,280.25/149,823
6. Step 6: Final answer
   x = 691,529.71