Finding the Third Proportional to 102,178.50 and 151,809

Step by Step Solution

1. Step 1: Write the proportion equation
   102,178.50 : 151,809 = 151,809 : x
2. Step 2: Convert to fraction form
   102,178.50/151,809 = 151,809/x
3. Step 3: Cross multiply
   102,178.50x = 151,809 × 151,809
4. Step 4: Simplify right side
   102,178.50x = 23,045,972,481
5. Step 5: Solve for x
   x = 23,045,972,481/102,178.50
6. Step 6: Final answer
   x = 225,546.20