Finding the Third Proportional to 102,022 and 155,290

Step by Step Solution

1. Step 1: Write the proportion equation
   102,022 : 155,290 = 155,290 : x
2. Step 2: Convert to fraction form
   102,022/155,290 = 155,290/x
3. Step 3: Cross multiply
   102,022x = 155,290 × 155,290
4. Step 4: Simplify right side
   102,022x = 24,114,984,100
5. Step 5: Solve for x
   x = 24,114,984,100/102,022
6. Step 6: Final answer
   x = 236,370.43