Finding the Third Proportional to 149,584.50 and 223,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,584.50 : 223,870.50 = 223,870.50 : x
2. Step 2: Convert to fraction form
   149,584.50/223,870.50 = 223,870.50/x
3. Step 3: Cross multiply
   149,584.50x = 223,870.50 × 223,870.50
4. Step 4: Simplify right side
   149,584.50x = 50,118,000,770.25
5. Step 5: Solve for x
   x = 50,118,000,770.25/149,584.50
6. Step 6: Final answer
   x = 335,048.09