Finding the Third Proportional to 142,081.50 and 189,551.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,081.50 : 189,551.25 = 189,551.25 : x
2. Step 2: Convert to fraction form
   142,081.50/189,551.25 = 189,551.25/x
3. Step 3: Cross multiply
   142,081.50x = 189,551.25 × 189,551.25
4. Step 4: Simplify right side
   142,081.50x = 35,929,676,376.56
5. Step 5: Solve for x
   x = 35,929,676,376.56/142,081.50
6. Step 6: Final answer
   x = 252,880.75