Finding the Third Proportional to 71,158 and 111,620

Step by Step Solution

1. Step 1: Write the proportion equation
   71,158 : 111,620 = 111,620 : x
2. Step 2: Convert to fraction form
   71,158/111,620 = 111,620/x
3. Step 3: Cross multiply
   71,158x = 111,620 × 111,620
4. Step 4: Simplify right side
   71,158x = 12,459,024,400
5. Step 5: Solve for x
   x = 12,459,024,400/71,158
6. Step 6: Final answer
   x = 175,089.58