Finding the Third Proportional to 135,720 and 199,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,720 : 199,633.50 = 199,633.50 : x
2. Step 2: Convert to fraction form
   135,720/199,633.50 = 199,633.50/x
3. Step 3: Cross multiply
   135,720x = 199,633.50 × 199,633.50
4. Step 4: Simplify right side
   135,720x = 39,853,534,322.25
5. Step 5: Solve for x
   x = 39,853,534,322.25/135,720
6. Step 6: Final answer
   x = 293,645.26