Finding the Third Proportional to 111,570 and 169,971

Step by Step Solution

1. Step 1: Write the proportion equation
   111,570 : 169,971 = 169,971 : x
2. Step 2: Convert to fraction form
   111,570/169,971 = 169,971/x
3. Step 3: Cross multiply
   111,570x = 169,971 × 169,971
4. Step 4: Simplify right side
   111,570x = 28,890,140,841
5. Step 5: Solve for x
   x = 28,890,140,841/111,570
6. Step 6: Final answer
   x = 258,941.84