Finding the Third Proportional to 105,920 and 155,316

Step by Step Solution

1. Step 1: Write the proportion equation
   105,920 : 155,316 = 155,316 : x
2. Step 2: Convert to fraction form
   105,920/155,316 = 155,316/x
3. Step 3: Cross multiply
   105,920x = 155,316 × 155,316
4. Step 4: Simplify right side
   105,920x = 24,123,059,856
5. Step 5: Solve for x
   x = 24,123,059,856/105,920
6. Step 6: Final answer
   x = 227,747.92