Finding the Third Proportional to 82,903 and 131,471

Step by Step Solution

1. Step 1: Write the proportion equation
   82,903 : 131,471 = 131,471 : x
2. Step 2: Convert to fraction form
   82,903/131,471 = 131,471/x
3. Step 3: Cross multiply
   82,903x = 131,471 × 131,471
4. Step 4: Simplify right side
   82,903x = 17,284,623,841
5. Step 5: Solve for x
   x = 17,284,623,841/82,903
6. Step 6: Final answer
   x = 208,492.14