Finding the Third Proportional to 142,269 and 213,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,269 : 213,034.50 = 213,034.50 : x
2. Step 2: Convert to fraction form
   142,269/213,034.50 = 213,034.50/x
3. Step 3: Cross multiply
   142,269x = 213,034.50 × 213,034.50
4. Step 4: Simplify right side
   142,269x = 45,383,698,190.25
5. Step 5: Solve for x
   x = 45,383,698,190.25/142,269
6. Step 6: Final answer
   x = 318,999.21