Finding the Third Proportional to 67,538.25 and 145,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,538.25 : 145,552.50 = 145,552.50 : x
2. Step 2: Convert to fraction form
   67,538.25/145,552.50 = 145,552.50/x
3. Step 3: Cross multiply
   67,538.25x = 145,552.50 × 145,552.50
4. Step 4: Simplify right side
   67,538.25x = 21,185,530,256.25
5. Step 5: Solve for x
   x = 21,185,530,256.25/67,538.25
6. Step 6: Final answer
   x = 313,681.95