Finding the Third Proportional to 142,096 and 189,572

Step by Step Solution

1. Step 1: Write the proportion equation
   142,096 : 189,572 = 189,572 : x
2. Step 2: Convert to fraction form
   142,096/189,572 = 189,572/x
3. Step 3: Cross multiply
   142,096x = 189,572 × 189,572
4. Step 4: Simplify right side
   142,096x = 35,937,543,184
5. Step 5: Solve for x
   x = 35,937,543,184/142,096
6. Step 6: Final answer
   x = 252,910.31