Finding the Third Proportional to 70,142 and 105,942

Step by Step Solution

1. Step 1: Write the proportion equation
   70,142 : 105,942 = 105,942 : x
2. Step 2: Convert to fraction form
   70,142/105,942 = 105,942/x
3. Step 3: Cross multiply
   70,142x = 105,942 × 105,942
4. Step 4: Simplify right side
   70,142x = 11,223,707,364
5. Step 5: Solve for x
   x = 11,223,707,364/70,142
6. Step 6: Final answer
   x = 160,014.08