Finding the Third Proportional to 78,015 and 152,142

Step by Step Solution

1. Step 1: Write the proportion equation
   78,015 : 152,142 = 152,142 : x
2. Step 2: Convert to fraction form
   78,015/152,142 = 152,142/x
3. Step 3: Cross multiply
   78,015x = 152,142 × 152,142
4. Step 4: Simplify right side
   78,015x = 23,147,188,164
5. Step 5: Solve for x
   x = 23,147,188,164/78,015
6. Step 6: Final answer
   x = 296,701.76