Finding the Third Proportional to 75,514 and 111,082

Step by Step Solution

1. Step 1: Write the proportion equation
   75,514 : 111,082 = 111,082 : x
2. Step 2: Convert to fraction form
   75,514/111,082 = 111,082/x
3. Step 3: Cross multiply
   75,514x = 111,082 × 111,082
4. Step 4: Simplify right side
   75,514x = 12,339,210,724
5. Step 5: Solve for x
   x = 12,339,210,724/75,514
6. Step 6: Final answer
   x = 163,402.95