Finding the Third Proportional to 85,855.50 and 174,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,855.50 : 174,136.50 = 174,136.50 : x
2. Step 2: Convert to fraction form
   85,855.50/174,136.50 = 174,136.50/x
3. Step 3: Cross multiply
   85,855.50x = 174,136.50 × 174,136.50
4. Step 4: Simplify right side
   85,855.50x = 30,323,520,632.25
5. Step 5: Solve for x
   x = 30,323,520,632.25/85,855.50
6. Step 6: Final answer
   x = 353,192.52