Finding the Third Proportional to 71,020 and 111,406

Step by Step Solution

1. Step 1: Write the proportion equation
   71,020 : 111,406 = 111,406 : x
2. Step 2: Convert to fraction form
   71,020/111,406 = 111,406/x
3. Step 3: Cross multiply
   71,020x = 111,406 × 111,406
4. Step 4: Simplify right side
   71,020x = 12,411,296,836
5. Step 5: Solve for x
   x = 12,411,296,836/71,020
6. Step 6: Final answer
   x = 174,757.77