Finding the Third Proportional to 82,309 and 120,538

Step by Step Solution

1. Step 1: Write the proportion equation
   82,309 : 120,538 = 120,538 : x
2. Step 2: Convert to fraction form
   82,309/120,538 = 120,538/x
3. Step 3: Cross multiply
   82,309x = 120,538 × 120,538
4. Step 4: Simplify right side
   82,309x = 14,529,409,444
5. Step 5: Solve for x
   x = 14,529,409,444/82,309
6. Step 6: Final answer
   x = 176,522.73