Finding the Third Proportional to 81,666 and 131,535

Step by Step Solution

1. Step 1: Write the proportion equation
   81,666 : 131,535 = 131,535 : x
2. Step 2: Convert to fraction form
   81,666/131,535 = 131,535/x
3. Step 3: Cross multiply
   81,666x = 131,535 × 131,535
4. Step 4: Simplify right side
   81,666x = 17,301,456,225
5. Step 5: Solve for x
   x = 17,301,456,225/81,666
6. Step 6: Final answer
   x = 211,856.30