Finding the Third Proportional to 83,142 and 120,330

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142 : 120,330 = 120,330 : x
2. Step 2: Convert to fraction form
   83,142/120,330 = 120,330/x
3. Step 3: Cross multiply
   83,142x = 120,330 × 120,330
4. Step 4: Simplify right side
   83,142x = 14,479,308,900
5. Step 5: Solve for x
   x = 14,479,308,900/83,142
6. Step 6: Final answer
   x = 174,151.56