Finding the Third Proportional to 84,771 and 131,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,771 : 131,053.50 = 131,053.50 : x
2. Step 2: Convert to fraction form
   84,771/131,053.50 = 131,053.50/x
3. Step 3: Cross multiply
   84,771x = 131,053.50 × 131,053.50
4. Step 4: Simplify right side
   84,771x = 17,175,019,862.25
5. Step 5: Solve for x
   x = 17,175,019,862.25/84,771
6. Step 6: Final answer
   x = 202,604.90