Finding the Third Proportional to 75,427 and 111,834

Step by Step Solution

1. Step 1: Write the proportion equation
   75,427 : 111,834 = 111,834 : x
2. Step 2: Convert to fraction form
   75,427/111,834 = 111,834/x
3. Step 3: Cross multiply
   75,427x = 111,834 × 111,834
4. Step 4: Simplify right side
   75,427x = 12,506,843,556
5. Step 5: Solve for x
   x = 12,506,843,556/75,427
6. Step 6: Final answer
   x = 165,813.88