Finding the Third Proportional to 105,586.50 and 155,436

Step by Step Solution

1. Step 1: Write the proportion equation
   105,586.50 : 155,436 = 155,436 : x
2. Step 2: Convert to fraction form
   105,586.50/155,436 = 155,436/x
3. Step 3: Cross multiply
   105,586.50x = 155,436 × 155,436
4. Step 4: Simplify right side
   105,586.50x = 24,160,350,096
5. Step 5: Solve for x
   x = 24,160,350,096/105,586.50
6. Step 6: Final answer
   x = 228,820.45