Finding the Third Proportional to 125,307 and 193,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,307 : 193,942.50 = 193,942.50 : x
2. Step 2: Convert to fraction form
   125,307/193,942.50 = 193,942.50/x
3. Step 3: Cross multiply
   125,307x = 193,942.50 × 193,942.50
4. Step 4: Simplify right side
   125,307x = 37,613,693,306.25
5. Step 5: Solve for x
   x = 37,613,693,306.25/125,307
6. Step 6: Final answer
   x = 300,172.32