Finding the Third Proportional to 102,542 and 155,180

Step by Step Solution

1. Step 1: Write the proportion equation
   102,542 : 155,180 = 155,180 : x
2. Step 2: Convert to fraction form
   102,542/155,180 = 155,180/x
3. Step 3: Cross multiply
   102,542x = 155,180 × 155,180
4. Step 4: Simplify right side
   102,542x = 24,080,832,400
5. Step 5: Solve for x
   x = 24,080,832,400/102,542
6. Step 6: Final answer
   x = 234,838.72