Finding the Third Proportional to 102,016 and 155,282

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016 : 155,282 = 155,282 : x
2. Step 2: Convert to fraction form
   102,016/155,282 = 155,282/x
3. Step 3: Cross multiply
   102,016x = 155,282 × 155,282
4. Step 4: Simplify right side
   102,016x = 24,112,499,524
5. Step 5: Solve for x
   x = 24,112,499,524/102,016
6. Step 6: Final answer
   x = 236,359.98