Finding the Third Proportional to 65,874 and 146,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,874 : 146,485.50 = 146,485.50 : x
2. Step 2: Convert to fraction form
   65,874/146,485.50 = 146,485.50/x
3. Step 3: Cross multiply
   65,874x = 146,485.50 × 146,485.50
4. Step 4: Simplify right side
   65,874x = 21,458,001,710.25
5. Step 5: Solve for x
   x = 21,458,001,710.25/65,874
6. Step 6: Final answer
   x = 325,743.11