Finding the Third Proportional to 135,962 and 206,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,962 : 206,584.50 = 206,584.50 : x
2. Step 2: Convert to fraction form
   135,962/206,584.50 = 206,584.50/x
3. Step 3: Cross multiply
   135,962x = 206,584.50 × 206,584.50
4. Step 4: Simplify right side
   135,962x = 42,677,155,640.25
5. Step 5: Solve for x
   x = 42,677,155,640.25/135,962
6. Step 6: Final answer
   x = 313,890.32