Finding the Third Proportional to 71,006 and 111,385

Step by Step Solution

1. Step 1: Write the proportion equation
   71,006 : 111,385 = 111,385 : x
2. Step 2: Convert to fraction form
   71,006/111,385 = 111,385/x
3. Step 3: Cross multiply
   71,006x = 111,385 × 111,385
4. Step 4: Simplify right side
   71,006x = 12,406,618,225
5. Step 5: Solve for x
   x = 12,406,618,225/71,006
6. Step 6: Final answer
   x = 174,726.34