Finding the Third Proportional to 142,307 and 223,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,307 : 223,228.50 = 223,228.50 : x
2. Step 2: Convert to fraction form
   142,307/223,228.50 = 223,228.50/x
3. Step 3: Cross multiply
   142,307x = 223,228.50 × 223,228.50
4. Step 4: Simplify right side
   142,307x = 49,830,963,212.25
5. Step 5: Solve for x
   x = 49,830,963,212.25/142,307
6. Step 6: Final answer
   x = 350,165.23