Finding the Third Proportional to 65,942 and 145,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,942 : 145,329.50 = 145,329.50 : x
2. Step 2: Convert to fraction form
   65,942/145,329.50 = 145,329.50/x
3. Step 3: Cross multiply
   65,942x = 145,329.50 × 145,329.50
4. Step 4: Simplify right side
   65,942x = 21,120,663,570.25
5. Step 5: Solve for x
   x = 21,120,663,570.25/65,942
6. Step 6: Final answer
   x = 320,291.52