Finding the Third Proportional to 142,599 and 200,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,599 : 200,596.50 = 200,596.50 : x
2. Step 2: Convert to fraction form
   142,599/200,596.50 = 200,596.50/x
3. Step 3: Cross multiply
   142,599x = 200,596.50 × 200,596.50
4. Step 4: Simplify right side
   142,599x = 40,238,955,812.25
5. Step 5: Solve for x
   x = 40,238,955,812.25/142,599
6. Step 6: Final answer
   x = 282,182.59