Finding the Third Proportional to 105,776 and 170,072

Step by Step Solution

1. Step 1: Write the proportion equation
   105,776 : 170,072 = 170,072 : x
2. Step 2: Convert to fraction form
   105,776/170,072 = 170,072/x
3. Step 3: Cross multiply
   105,776x = 170,072 × 170,072
4. Step 4: Simplify right side
   105,776x = 28,924,485,184
5. Step 5: Solve for x
   x = 28,924,485,184/105,776
6. Step 6: Final answer
   x = 273,450.36