Finding the Third Proportional to 105,420 and 167,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,420 : 167,515.50 = 167,515.50 : x
2. Step 2: Convert to fraction form
   105,420/167,515.50 = 167,515.50/x
3. Step 3: Cross multiply
   105,420x = 167,515.50 × 167,515.50
4. Step 4: Simplify right side
   105,420x = 28,061,442,740.25
5. Step 5: Solve for x
   x = 28,061,442,740.25/105,420
6. Step 6: Final answer
   x = 266,187.09