Finding the Third Proportional to 105,419 and 167,513

Step by Step Solution

1. Step 1: Write the proportion equation
   105,419 : 167,513 = 167,513 : x
2. Step 2: Convert to fraction form
   105,419/167,513 = 167,513/x
3. Step 3: Cross multiply
   105,419x = 167,513 × 167,513
4. Step 4: Simplify right side
   105,419x = 28,060,605,169
5. Step 5: Solve for x
   x = 28,060,605,169/105,419
6. Step 6: Final answer
   x = 266,181.67