Finding the Third Proportional to 75,192 and 111,978

Step by Step Solution

1. Step 1: Write the proportion equation
   75,192 : 111,978 = 111,978 : x
2. Step 2: Convert to fraction form
   75,192/111,978 = 111,978/x
3. Step 3: Cross multiply
   75,192x = 111,978 × 111,978
4. Step 4: Simplify right side
   75,192x = 12,539,072,484
5. Step 5: Solve for x
   x = 12,539,072,484/75,192
6. Step 6: Final answer
   x = 166,760.73