Finding the Third Proportional to 102,569 and 155,222

Step by Step Solution

1. Step 1: Write the proportion equation
   102,569 : 155,222 = 155,222 : x
2. Step 2: Convert to fraction form
   102,569/155,222 = 155,222/x
3. Step 3: Cross multiply
   102,569x = 155,222 × 155,222
4. Step 4: Simplify right side
   102,569x = 24,093,869,284
5. Step 5: Solve for x
   x = 24,093,869,284/102,569
6. Step 6: Final answer
   x = 234,904.01