Finding the Third Proportional to 142,077 and 217,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,077 : 217,651.50 = 217,651.50 : x
2. Step 2: Convert to fraction form
   142,077/217,651.50 = 217,651.50/x
3. Step 3: Cross multiply
   142,077x = 217,651.50 × 217,651.50
4. Step 4: Simplify right side
   142,077x = 47,372,175,452.25
5. Step 5: Solve for x
   x = 47,372,175,452.25/142,077
6. Step 6: Final answer
   x = 333,426.07