Finding the Third Proportional to 102,978 and 154,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 154,993.50 = 154,993.50 : x
2. Step 2: Convert to fraction form
   102,978/154,993.50 = 154,993.50/x
3. Step 3: Cross multiply
   102,978x = 154,993.50 × 154,993.50
4. Step 4: Simplify right side
   102,978x = 24,022,985,042.25
5. Step 5: Solve for x
   x = 24,022,985,042.25/102,978
6. Step 6: Final answer
   x = 233,282.69