Finding the Third Proportional to 135,306 and 192,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,306 : 192,325.50 = 192,325.50 : x
2. Step 2: Convert to fraction form
   135,306/192,325.50 = 192,325.50/x
3. Step 3: Cross multiply
   135,306x = 192,325.50 × 192,325.50
4. Step 4: Simplify right side
   135,306x = 36,989,097,950.25
5. Step 5: Solve for x
   x = 36,989,097,950.25/135,306
6. Step 6: Final answer
   x = 273,373.67