Finding the Third Proportional to 135,363 and 199,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,363 : 199,120.50 = 199,120.50 : x
2. Step 2: Convert to fraction form
   135,363/199,120.50 = 199,120.50/x
3. Step 3: Cross multiply
   135,363x = 199,120.50 × 199,120.50
4. Step 4: Simplify right side
   135,363x = 39,648,973,520.25
5. Step 5: Solve for x
   x = 39,648,973,520.25/135,363
6. Step 6: Final answer
   x = 292,908.50