Finding the Third Proportional to 120,781 and 164,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,781 : 164,017.50 = 164,017.50 : x
2. Step 2: Convert to fraction form
   120,781/164,017.50 = 164,017.50/x
3. Step 3: Cross multiply
   120,781x = 164,017.50 × 164,017.50
4. Step 4: Simplify right side
   120,781x = 26,901,740,306.25
5. Step 5: Solve for x
   x = 26,901,740,306.25/120,781
6. Step 6: Final answer
   x = 222,731.56