Finding the Third Proportional to 102,390 and 155,016

Step by Step Solution

1. Step 1: Write the proportion equation
   102,390 : 155,016 = 155,016 : x
2. Step 2: Convert to fraction form
   102,390/155,016 = 155,016/x
3. Step 3: Cross multiply
   102,390x = 155,016 × 155,016
4. Step 4: Simplify right side
   102,390x = 24,029,960,256
5. Step 5: Solve for x
   x = 24,029,960,256/102,390
6. Step 6: Final answer
   x = 234,690.50