Finding the Third Proportional to 142,506 and 200,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,506 : 200,404.50 = 200,404.50 : x
2. Step 2: Convert to fraction form
   142,506/200,404.50 = 200,404.50/x
3. Step 3: Cross multiply
   142,506x = 200,404.50 × 200,404.50
4. Step 4: Simplify right side
   142,506x = 40,161,963,620.25
5. Step 5: Solve for x
   x = 40,161,963,620.25/142,506
6. Step 6: Final answer
   x = 281,826.47