Finding the Third Proportional to 102,584 and 155,290

Step by Step Solution

1. Step 1: Write the proportion equation
   102,584 : 155,290 = 155,290 : x
2. Step 2: Convert to fraction form
   102,584/155,290 = 155,290/x
3. Step 3: Cross multiply
   102,584x = 155,290 × 155,290
4. Step 4: Simplify right side
   102,584x = 24,114,984,100
5. Step 5: Solve for x
   x = 24,114,984,100/102,584
6. Step 6: Final answer
   x = 235,075.49