Finding the Third Proportional to 135,343 and 189,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,343 : 189,217.50 = 189,217.50 : x
2. Step 2: Convert to fraction form
   135,343/189,217.50 = 189,217.50/x
3. Step 3: Cross multiply
   135,343x = 189,217.50 × 189,217.50
4. Step 4: Simplify right side
   135,343x = 35,803,262,306.25
5. Step 5: Solve for x
   x = 35,803,262,306.25/135,343
6. Step 6: Final answer
   x = 264,537.23