Finding the Third Proportional to 71,895 and 111,209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,895 : 111,209.25 = 111,209.25 : x
2. Step 2: Convert to fraction form
   71,895/111,209.25 = 111,209.25/x
3. Step 3: Cross multiply
   71,895x = 111,209.25 × 111,209.25
4. Step 4: Simplify right side
   71,895x = 12,367,497,285.56
5. Step 5: Solve for x
   x = 12,367,497,285.56/71,895
6. Step 6: Final answer
   x = 172,021.66