Finding the Third Proportional to 134,766 and 206,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,766 : 206,239.50 = 206,239.50 : x
2. Step 2: Convert to fraction form
   134,766/206,239.50 = 206,239.50/x
3. Step 3: Cross multiply
   134,766x = 206,239.50 × 206,239.50
4. Step 4: Simplify right side
   134,766x = 42,534,731,360.25
5. Step 5: Solve for x
   x = 42,534,731,360.25/134,766
6. Step 6: Final answer
   x = 315,619.16