Finding the Third Proportional to 137,667 and 193,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,667 : 193,870.50 = 193,870.50 : x
2. Step 2: Convert to fraction form
   137,667/193,870.50 = 193,870.50/x
3. Step 3: Cross multiply
   137,667x = 193,870.50 × 193,870.50
4. Step 4: Simplify right side
   137,667x = 37,585,770,770.25
5. Step 5: Solve for x
   x = 37,585,770,770.25/137,667
6. Step 6: Final answer
   x = 273,019.47