Finding the Third Proportional to 135,672.50 and 199,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,672.50 : 199,443.50 = 199,443.50 : x
2. Step 2: Convert to fraction form
   135,672.50/199,443.50 = 199,443.50/x
3. Step 3: Cross multiply
   135,672.50x = 199,443.50 × 199,443.50
4. Step 4: Simplify right side
   135,672.50x = 39,777,709,692.25
5. Step 5: Solve for x
   x = 39,777,709,692.25/135,672.50
6. Step 6: Final answer
   x = 293,189.18