Finding the Third Proportional to 69,344.50 and 149,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,344.50 : 149,222.50 = 149,222.50 : x
2. Step 2: Convert to fraction form
   69,344.50/149,222.50 = 149,222.50/x
3. Step 3: Cross multiply
   69,344.50x = 149,222.50 × 149,222.50
4. Step 4: Simplify right side
   69,344.50x = 22,267,354,506.25
5. Step 5: Solve for x
   x = 22,267,354,506.25/69,344.50
6. Step 6: Final answer
   x = 321,112.05