Finding the Third Proportional to 129,978 and 270,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,978 : 270,148.50 = 270,148.50 : x
2. Step 2: Convert to fraction form
   129,978/270,148.50 = 270,148.50/x
3. Step 3: Cross multiply
   129,978x = 270,148.50 × 270,148.50
4. Step 4: Simplify right side
   129,978x = 72,980,212,052.25
5. Step 5: Solve for x
   x = 72,980,212,052.25/129,978
6. Step 6: Final answer
   x = 561,481.27