Finding the Third Proportional to 135,840 and 199,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,840 : 199,597.50 = 199,597.50 : x
2. Step 2: Convert to fraction form
   135,840/199,597.50 = 199,597.50/x
3. Step 3: Cross multiply
   135,840x = 199,597.50 × 199,597.50
4. Step 4: Simplify right side
   135,840x = 39,839,162,006.25
5. Step 5: Solve for x
   x = 39,839,162,006.25/135,840
6. Step 6: Final answer
   x = 293,280.05