Finding the Third Proportional to 65,978 and 142,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,978 : 142,323.50 = 142,323.50 : x
2. Step 2: Convert to fraction form
   65,978/142,323.50 = 142,323.50/x
3. Step 3: Cross multiply
   65,978x = 142,323.50 × 142,323.50
4. Step 4: Simplify right side
   65,978x = 20,255,978,652.25
5. Step 5: Solve for x
   x = 20,255,978,652.25/65,978
6. Step 6: Final answer
   x = 307,011.10