Finding the Third Proportional to 120,778.50 and 164,013

Step by Step Solution

1. Step 1: Write the proportion equation
   120,778.50 : 164,013 = 164,013 : x
2. Step 2: Convert to fraction form
   120,778.50/164,013 = 164,013/x
3. Step 3: Cross multiply
   120,778.50x = 164,013 × 164,013
4. Step 4: Simplify right side
   120,778.50x = 26,900,264,169
5. Step 5: Solve for x
   x = 26,900,264,169/120,778.50
6. Step 6: Final answer
   x = 222,723.95