Finding the Third Proportional to 75,427 and 111,835

Step by Step Solution

1. Step 1: Write the proportion equation
   75,427 : 111,835 = 111,835 : x
2. Step 2: Convert to fraction form
   75,427/111,835 = 111,835/x
3. Step 3: Cross multiply
   75,427x = 111,835 × 111,835
4. Step 4: Simplify right side
   75,427x = 12,507,067,225
5. Step 5: Solve for x
   x = 12,507,067,225/75,427
6. Step 6: Final answer
   x = 165,816.85