Finding the Third Proportional to 102,016.69 and 155,282.06

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016.69 : 155,282.06 = 155,282.06 : x
2. Step 2: Convert to fraction form
   102,016.69/155,282.06 = 155,282.06/x
3. Step 3: Cross multiply
   102,016.69x = 155,282.06 × 155,282.06
4. Step 4: Simplify right side
   102,016.69x = 24,112,518,934.25
5. Step 5: Solve for x
   x = 24,112,518,934.25/102,016.69
6. Step 6: Final answer
   x = 236,358.58