Finding the Third Proportional to 142,955.50 and 209,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,955.50 : 209,658.50 = 209,658.50 : x
2. Step 2: Convert to fraction form
   142,955.50/209,658.50 = 209,658.50/x
3. Step 3: Cross multiply
   142,955.50x = 209,658.50 × 209,658.50
4. Step 4: Simplify right side
   142,955.50x = 43,956,686,622.25
5. Step 5: Solve for x
   x = 43,956,686,622.25/142,955.50
6. Step 6: Final answer
   x = 307,485.10