Finding the Third Proportional to 105,423 and 167,519.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,423 : 167,519.25 = 167,519.25 : x
2. Step 2: Convert to fraction form
   105,423/167,519.25 = 167,519.25/x
3. Step 3: Cross multiply
   105,423x = 167,519.25 × 167,519.25
4. Step 4: Simplify right side
   105,423x = 28,062,699,120.56
5. Step 5: Solve for x
   x = 28,062,699,120.56/105,423
6. Step 6: Final answer
   x = 266,191.43