Finding the Third Proportional to 81,628 and 126,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,628 : 126,136.50 = 126,136.50 : x
2. Step 2: Convert to fraction form
   81,628/126,136.50 = 126,136.50/x
3. Step 3: Cross multiply
   81,628x = 126,136.50 × 126,136.50
4. Step 4: Simplify right side
   81,628x = 15,910,416,632.25
5. Step 5: Solve for x
   x = 15,910,416,632.25/81,628
6. Step 6: Final answer
   x = 194,913.71