Finding the Third Proportional to 102,855 and 155,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,855 : 155,380.50 = 155,380.50 : x
2. Step 2: Convert to fraction form
   102,855/155,380.50 = 155,380.50/x
3. Step 3: Cross multiply
   102,855x = 155,380.50 × 155,380.50
4. Step 4: Simplify right side
   102,855x = 24,143,099,780.25
5. Step 5: Solve for x
   x = 24,143,099,780.25/102,855
6. Step 6: Final answer
   x = 234,729.47