Finding the Third Proportional to 85,846 and 133,082

Step by Step Solution

1. Step 1: Write the proportion equation
   85,846 : 133,082 = 133,082 : x
2. Step 2: Convert to fraction form
   85,846/133,082 = 133,082/x
3. Step 3: Cross multiply
   85,846x = 133,082 × 133,082
4. Step 4: Simplify right side
   85,846x = 17,710,818,724
5. Step 5: Solve for x
   x = 17,710,818,724/85,846
6. Step 6: Final answer
   x = 206,309.19