Finding the Third Proportional to 110,971 and 171,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,971 : 171,635.50 = 171,635.50 : x
2. Step 2: Convert to fraction form
   110,971/171,635.50 = 171,635.50/x
3. Step 3: Cross multiply
   110,971x = 171,635.50 × 171,635.50
4. Step 4: Simplify right side
   110,971x = 29,458,744,860.25
5. Step 5: Solve for x
   x = 29,458,744,860.25/110,971
6. Step 6: Final answer
   x = 265,463.45