Finding the Third Proportional to 142,308 and 214,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,308 : 214,396.50 = 214,396.50 : x
2. Step 2: Convert to fraction form
   142,308/214,396.50 = 214,396.50/x
3. Step 3: Cross multiply
   142,308x = 214,396.50 × 214,396.50
4. Step 4: Simplify right side
   142,308x = 45,965,859,212.25
5. Step 5: Solve for x
   x = 45,965,859,212.25/142,308
6. Step 6: Final answer
   x = 323,002.64