Finding the Third Proportional to 142,851.75 and 311,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,851.75 : 311,101.50 = 311,101.50 : x
2. Step 2: Convert to fraction form
   142,851.75/311,101.50 = 311,101.50/x
3. Step 3: Cross multiply
   142,851.75x = 311,101.50 × 311,101.50
4. Step 4: Simplify right side
   142,851.75x = 96,784,143,302.25
5. Step 5: Solve for x
   x = 96,784,143,302.25/142,851.75
6. Step 6: Final answer
   x = 677,514.58