Finding the Third Proportional to 39,259 and 85,082

Step by Step Solution

1. Step 1: Write the proportion equation
   39,259 : 85,082 = 85,082 : x
2. Step 2: Convert to fraction form
   39,259/85,082 = 85,082/x
3. Step 3: Cross multiply
   39,259x = 85,082 × 85,082
4. Step 4: Simplify right side
   39,259x = 7,238,946,724
5. Step 5: Solve for x
   x = 7,238,946,724/39,259
6. Step 6: Final answer
   x = 184,389.48