Finding the Third Proportional to 142,083 and 189,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,083 : 189,553.50 = 189,553.50 : x
2. Step 2: Convert to fraction form
   142,083/189,553.50 = 189,553.50/x
3. Step 3: Cross multiply
   142,083x = 189,553.50 × 189,553.50
4. Step 4: Simplify right side
   142,083x = 35,930,529,362.25
5. Step 5: Solve for x
   x = 35,930,529,362.25/142,083
6. Step 6: Final answer
   x = 252,884.08