Finding the Third Proportional to 126,936 and 195,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,936 : 195,907.50 = 195,907.50 : x
2. Step 2: Convert to fraction form
   126,936/195,907.50 = 195,907.50/x
3. Step 3: Cross multiply
   126,936x = 195,907.50 × 195,907.50
4. Step 4: Simplify right side
   126,936x = 38,379,748,556.25
5. Step 5: Solve for x
   x = 38,379,748,556.25/126,936
6. Step 6: Final answer
   x = 302,355.11