Finding the Third Proportional to 67,538.25 and 146,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,538.25 : 146,968.50 = 146,968.50 : x
2. Step 2: Convert to fraction form
   67,538.25/146,968.50 = 146,968.50/x
3. Step 3: Cross multiply
   67,538.25x = 146,968.50 × 146,968.50
4. Step 4: Simplify right side
   67,538.25x = 21,599,739,992.25
5. Step 5: Solve for x
   x = 21,599,739,992.25/67,538.25
6. Step 6: Final answer
   x = 319,814.92