Finding the Third Proportional to 65,642.25 and 133,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,642.25 : 133,693.50 = 133,693.50 : x
2. Step 2: Convert to fraction form
   65,642.25/133,693.50 = 133,693.50/x
3. Step 3: Cross multiply
   65,642.25x = 133,693.50 × 133,693.50
4. Step 4: Simplify right side
   65,642.25x = 17,873,951,942.25
5. Step 5: Solve for x
   x = 17,873,951,942.25/65,642.25
6. Step 6: Final answer
   x = 272,293.41