Finding the Third Proportional to 80,982 and 189,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,982 : 189,148.50 = 189,148.50 : x
2. Step 2: Convert to fraction form
   80,982/189,148.50 = 189,148.50/x
3. Step 3: Cross multiply
   80,982x = 189,148.50 × 189,148.50
4. Step 4: Simplify right side
   80,982x = 35,777,155,052.25
5. Step 5: Solve for x
   x = 35,777,155,052.25/80,982
6. Step 6: Final answer
   x = 441,791.45