Finding the Third Proportional to 120,783 and 164,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,783 : 164,020.50 = 164,020.50 : x
2. Step 2: Convert to fraction form
   120,783/164,020.50 = 164,020.50/x
3. Step 3: Cross multiply
   120,783x = 164,020.50 × 164,020.50
4. Step 4: Simplify right side
   120,783x = 26,902,724,420.25
5. Step 5: Solve for x
   x = 26,902,724,420.25/120,783
6. Step 6: Final answer
   x = 222,736.02