Finding the Third Proportional to 105,808 and 155,328

Step by Step Solution

1. Step 1: Write the proportion equation
   105,808 : 155,328 = 155,328 : x
2. Step 2: Convert to fraction form
   105,808/155,328 = 155,328/x
3. Step 3: Cross multiply
   105,808x = 155,328 × 155,328
4. Step 4: Simplify right side
   105,808x = 24,126,787,584
5. Step 5: Solve for x
   x = 24,126,787,584/105,808
6. Step 6: Final answer
   x = 228,024.23