Finding the Third Proportional to 69,441 and 149,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,441 : 149,542.50 = 149,542.50 : x
2. Step 2: Convert to fraction form
   69,441/149,542.50 = 149,542.50/x
3. Step 3: Cross multiply
   69,441x = 149,542.50 × 149,542.50
4. Step 4: Simplify right side
   69,441x = 22,362,959,306.25
5. Step 5: Solve for x
   x = 22,362,959,306.25/69,441
6. Step 6: Final answer
   x = 322,042.59