Finding the Third Proportional to 71,020 and 109,298

Step by Step Solution

1. Step 1: Write the proportion equation
   71,020 : 109,298 = 109,298 : x
2. Step 2: Convert to fraction form
   71,020/109,298 = 109,298/x
3. Step 3: Cross multiply
   71,020x = 109,298 × 109,298
4. Step 4: Simplify right side
   71,020x = 11,946,052,804
5. Step 5: Solve for x
   x = 11,946,052,804/71,020
6. Step 6: Final answer
   x = 168,206.88